Derivation Of The Quadratic Formula Quotes

What grinds me the most is we're sending kids out into the world who don't know how to balance a checkbook, don't know how to apply for a loan, don't even know how to properly fill out a job application, but because they know the quadratic formula we consider them prepared for the world`
With that said, I'll admit even I can see how looking at the equation x -3 = 19 and knowing x =22 can be useful. I'll even say knowing x =7 and y= 8 in a problem like 9x - 6y= 15 can be helpful. But seriously, do we all need to know how to simplify (x-3)(x-3i)??
And the joke is, no one can continue their education unless they do. A student living in California cannot get into a four-year college unless they pass Algebra 2 in high school. A future psychologist can't become a psychologist, a future lawyer can't become a lawyer, and I can't become a journalist unless each of us has a basic understanding of engineering.
Of course, engineers and scientists use this shit all the time, and I applaud them! But they don't take years of theater arts appreciation courses, because a scientist or an engineer doesn't need to know that 'The Phantom of the Opoera' was the longest-running Broadway musical of all time.
Get my point? ~ Chris Colfer

Ode to Algebra
Thrust into this dingy classroom
we die like lampless moths
locked into the desolation of
fluorescent lights and metal desks.
Ten minutes until the bell rings.
What use is the quadratic formula
in our daily lives?
Can we use it to unlock the secrets
in the hearts of those we love?
Five minutes until the bell rings.
Cruel Algebra teacher,
won't you let us go? ~ Meg Cabot

Noll tried to register Gaussian Quadratic with the US Copyright Office at the Library of Congress, another body perplexed by the works on display. His request was originally denied "since a machine had generated the work."10 He explained that a human being had written the program that, through a mix of randomness and order, generated the work. The Library of Congress again declined: randomness was unacceptable. Noll finally argued that although the numbers produced by the program appeared random, "the algorithm generating them was perfectly mathematical and not random at all," and the work was finally patented. ~ Zabet Patterson

The term satipaṭṭhāna can be explained as a compound of sati, "mindfulness" or "awareness", and upaṭṭhāna, with the u of the latter term dropped by vowel elision. The Pāli term upaṭṭhāna literally means "placing near", and in the present context refers to a particular way of "being present" and "attending" to something with mindfulness. In the discourses [of the Buddha], the corresponding verb upaṭṭhahati often denotes various nuances of "being present", or else "attending". Understood in this way, "satipaṭṭhāna" means that sati "stands by", in the sense of being present; sati is "ready at hand", in the sense of attending to the current situation. Satipaṭṭhāna can then be translated as "presence of mindfulness" or as "attending with mindfulness."

The commentaries, however, derive satipaṭṭhāna from the word "foundation" or "cause" (paṭṭhāna). This seems unlikely, since in the discourses contained in the Pāli canon the corresponding verb paṭṭhahati never occurs together with sati. Moreover, the noun paṭṭhāna is not found at all in the early discourses, but comes into use only in the historically later Abhidhamma and the commentaries. In contrast, the discourses frequently relate sati to the verb upaṭṭhahati, indicating that "presence" (upaṭṭhāna) is the etymologically correct derivation. In fact, the equivalent Sanskrit term is smṛtyupasthāna, which shows that upasthāna, or its Pāli equivalent upaṭṭhāna, is the correct choice for the compound. ~ Analayo

ALLODIUM (ALLO'DIUM) n.s.[A word of very uncertain derivation, but most probably of German original.]A possession held in absolute independence, without any acknowledgment of a lord paramount. It is opposed to fee, or feudum, which intimates some kind of dependance. There are no allodial lands in England, all being held either mediately or immediately of the king. ~ Samuel Johnson

Life is not an orderly progression, self-contained like a musical scale or a quadratic equation ... If one is to record one's life truthfully, one must aim at getting into the record of it something of the disorderly discontinuity which makes it so absurd, unpredictable, bearable. ~ Leonard Woolf

The usual derivation of the word Metaphysics is not to be sustainedthe science is supposed to take its name from its superiority to physics. The truth is, that Aristotle's treatise on Morals is next in succession to his Book of Physics. ~ Edgar Allan Poe

As a legal text, the Qur'an reflects its origins in a tribal or clan-based society, particularly on issues concerning inheritance, male guardianship, the validity of a woman's testimony in court, and polygamy. This is even more obvious in the hadith, the compilation of sayings attributed to the Prophet or documenting his actions. This combination of the Qur'an and the example of Muhammad forms the basis of sharia. The derivation of these legal rules, known as fiqh, is the responsibility of Islamic jurists and takes place on the basis of ijma (consensus). When conflicts of interpretation arise, scholars consult the Qur'an and hadith. ~ Ayaan Hirsi Ali

What will maintain the pinnacle position of our nation in the world: the ability to shoot a 25-foot jump shot, or the ability to solve a quadratic equation? ~ Ben Carson

Demetrius the grammarian finding in the temple of Delphos a knot of philosophers set chatting together, said to them, "Either I am much deceived,
or by your cheerful and pleasant countenances, you are engaged in no very deep discourse." To which one of them, Heracleon the Megarean, replied: " 'Tis for such as are puzzled about inquiring whether the future tense of the verb Ballo be spelt with a
double L, or that hunt after the derivation of the comparatives Cheirou and Beltiou, and the superlatives Cheiriotou and Beliotou, to knit their brows whilst discoursing of their science; but as to philosophical discourses, they always divert and cheer up those that entertain them, and never deject them or make them sad. ~ Michel De Montaigne

What grinds me the most is that we're sending kids out into the world who don't know how to balance a checkbook, don't know how to apply for a loan, don't even know how to properly fill out a job application, but because they know the quadratic formula we consider them prepared for the world? ~ Chris Colfer

Courage is of the heart by derivation,
And great it is. But fear is of the soul. ~ Robert Frost

By tracing in this manner every word to its original, and not admitting, but with great caution, any of which no original can be found, we shall secure our language from being overrun with cant, from being crowded with low terms, the spawn of folly or affectation, which arise from no just principles of speech, and of which, therefore, no legitimate derivation can be shown. ~ Samuel Johnson

We know from Philo there was already a Jewish tradition of a preexistent being named Jesus who was the Form of God (Element 40). It cannot be claimed Philo came up with this notion on his own, since that would entail a wildly improbable coincidence. So we surely are looking at a derivation from an earlier Divine Logos doctrine. Then we're told this Jesus did not try to seize power from God in heaven (as by some accounts Satan had once done, resulting in his fall to the lower realms), but instead divested himself of all his power and higher being, enslaving himself (either to God's plan or the world of flesh) by 'being made' [genomenos] in the 'likeness' of men (not literally becoming a man, but assuming a human body, and thus wearing human 'flesh'). ~ Richard C. Carrier

An ideological movement is a collection of people many of whom could hardly bake a cake, fix a car, sustain a friendship or a marriage, or even do a quadratic equation, yet they believe they know how to rule the world. The university, in which it is possible to combine theoretical pretension with comprehensive ineptitude, has become the natural habitat of the ideological enthusiast. A kind of adventure playground, carefully insulated from reality in order to prevent absent-minded professors from bumping into things as they explore transcendental realms, has become the institutional base for civilizational self-hatred. ~ Kenneth Minogue

Many young athletes joined the gangs instead of aspiring to gold medals in the Olympics. You could easily discern the kind of sport they did by their body shape and injuries.
Well-built with a broken nose - a boxer.
Broad shoulders with torn ears - a wrestler.
Enormous muscles with little to no brain - a bodybuilder.
Short with broad shoulders and a quadratic head - a weightlifter. ~ Carlito Sofer, Nik Krasno

Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble and vain attempts of geometry proper to rise to its level or to emulate it in its flights. ~ James Joseph Sylvester

the problem is then to develop a theory of invariance with respect to arbitrary linear transformations, in which, however, in contra-distinction to the case of affine geometry, we have a definite invariant quadratic form, viz. the metrical groundform once and for all as an absolute datum. ~ Hermann Weyl

The science of calculation also is indispensable as far as the extraction of the square and cube roots: Algebra as far as the quadratic equation and the use of logarithms are often of value in ordinary cases: but all beyond these is but a luxury; a delicious luxury indeed; but not be in indulged in by one who is to have a profession to follow for his subsistence. ~ Thomas Jefferson

The day passed.
People had butchered my name, teachers hadn't known what the hell to do with me, my math teacher looked at my face and gave a five-minute speech to the class about how people who don't love this country should just go back to where they came from and I stared at my textbook so hard it was days before I could get the quadratic equation out of my head.
Not one of my classmates spoke to me, no one but the kid who accidentally assaulted my shoulder with his bio book.
I wished I didn't care. ~ Tahereh Mafi

This is the derivation of that old Yankee proverb that if you can sell a book, you can move sixty tons of weaponry three hundred miles in winter ~ Sarah Vowell

The nature of risk may be the single most important argument for the use of quantitative analysis in investment management. Neither Investors nor Analysts can be blamed for this fact. Nor can Harry Markowitz. Nature made risk a quadratic function. Markowitz only discovered it. ~ William Sharpe

Never make a calculation until you know the answer. Make an estimate before every calculation, try a simple physical argument (symmetry! invariance! conservation!) before every derivation, guess the answer to every paradox and puzzle. Courage: No one else needs to know what the guess is. Therefore make it quickly, by instinct. A right guess reinforces this instinct. A wrong guess brings the refreshment of surprise. In either case life as a spacetime expert, however long, is more fun! ~ John Archibald Wheeler

Saudade is presented as the key feeling of the Portuguese soul. The word comes from the Latin plural solitates, "solitudes," but its derivation was influenced by the idea and sonority of the Latin salvus, "in good health," "safe." A long tradition that goes back to the origins of Lusophone language, to the thirteenth-century cantiga d'amigo, has repeatedly explored, in literature and philosophy, the special feeling of a people that has always looked beyond its transatlantic horizons. Drawn from a genuine suffering of the soul, saudade became, for philosophical speculation, particularly suitable for expressing the relationship of the human condition to temporality, finitude, and the infinite. ~ Barbara Cassin

I've said it before: equations are the devil's sentences. The worst one is that quadratic equation, an infernal salad of numbers, letters, and symbols. ~ Stephen Colbert

MONARCH, n. A person engaged in reigning. Formerly the monarch ruled, as the derivation of the word attests, and as many subjects have had occasion to learn. ~ Ambrose Bierce

And everybody was happy that uncle lee was able to get that scholarship even though you wondered when you could do quadratic equations in your head why you had a basketball scholarship but you always knew that you had to take what they were giving since that was all you were going to get but you never fooled yourself about either the taking or the giving or the needing or the having you just sort of said to yourself I'll have to see what is being offered ~ Nikki Giovanni

He says nothing, vehemently. I falter away and we sit, mutually staring into the fouled water ...
With time to kill, I ponder dismally the possible derivation of the zombie myth from people like my boyfriend. I picture Ralph blackened, semi-fingered, with bright bone peeking through his flesh. The odd small worm clings, festively wiggling. In my image, Ralph's really upset about decaying, and I feel for him sorrowfully. I want to tell him I would still love him, if he were decomposed. Of course in practice there is no predicting what I'd feel, and besides which, it's a wild associative leap.
I ponder dismally how I've alienated people, all my life, with my bizarre associative leaps. ~ Sandra Newman

The inner directions are real, as are the inward sun and moon
in your dreams. Dreams are like death, but with a difference! Don't believe
what you are told. Learn by experiencing. Asleep you see what you do not see awake.
You run to dream interpreters wanting to know where that sight came from. This talk
of derivation wastes your time. The true watchers and seekers are those who
remember, who return in sleep like elephants to Hindustan. ~ Rumi

This specter of the female politician, who abandons her family to neglect for the sake of passing bills in parliament, is just as complete an illusion of the masculine brain, as the other specter whom Sydney Smith laid by a joke,
the woman who would forsake an infant for a quadratic equation. ~ Frances Power Cobbe

Serendipity ... You will understand it better by the derivation than by the definition. I once read a silly fairy tale, called 'The Three Princes of Serendip': as their Highnesses traveled, they were always making discoveries, by accidents and sagacity, of things which they were not in quest of. ~ Horace Walpole

Science is turning into a monastery for the Order of Capitulant Friars. Logical calculus is supposed to supersede man as moralist. We submit to the blackmail of the 'superior knowledge' that has the temerity to assert that nuclear war can be, by derivation, a good thing, because this follows from simple arithmetic. ~ Stanislaw Lem

TEDIUM, n. Ennui, the state or condition of one that is bored. Many fanciful derivations of the word have been affirmed, but so high an authority as Father Jape says that it comes from a very obvious source
the first words of the ancient Latin hymn _Te Deum Laudamus_. In this apparently natural derivation there is something that saddens. ~ Ambrose Bierce

Insight, then. Wisdom. The quest for knowledge, the derivation of theorems, science and technology and all those exclusively human pursuits that must surely rest on a conscious foundation. Maybe that's what sentience would be for - if scientific breakthroughs didn't spring fully-formed from the subconscious mind, manifest themselves in dreams, as full-blown insights after a deep night's sleep. It's the most basic rule of the stymied researcher: stop thinking about the problem. Do something else. It will come to you if you just stop being conscious of it...
Don't even try to talk about the learning curve. Don't bother citing the months of deliberate practice that precede the unconscious performance, or the years of study and experiment leading up to the gift-wrapped Eureka moment. So what if your lessons are all learned consciously? Do you think that proves there's no other way? Heuristic software's been learning from experience for over a hundred years. Machines master chess, cars learn to drive themselves, statistical programs face problems and design the experiments to solve them and you think that the only path to learning leads through sentience? You're Stone-age nomads, eking out some marginal existence on the veldt - denying even the possibility of agriculture, because hunting and gathering was good enough for your parents.
Do you want to know what consciousness is for? Do you want to know the only real purpose it serves? Training wheels. You can't see both a ~ Peter Watts

Whereas the work is understood to be traceable to a source (through a process of derivation or "filiation"), the Text is without a source - the "author" a mere "guest" at the reading of the Text. ~ Roland Barthes

People's conceptions about themselves and the nature of things are developed and verified through four different processes: direct experience of the effects produced by their actions, vicarious experience of the effects produced by somebody else's actions, judgments voiced by others, and derivation of further knowledge from what they already know by using rules of inference ~ Albert Bandura

According to theism, if a universe is to have any probability of existing, this probability is dependent upon God's beliefs, desires and creative acts. But the Hartle-Hawking probability is not dependent on any supernatural considerations; Hartle and Hawking do not sum over anything supernatural in their path integral derivation of the probability amplitude. ~ Quentin Smith

The beauty of a language is, generally judged by its soft or rigid, melodious or harsh, ring. Other aspects, such as the flexibility of derivation, play hardly any role in grading. Were it the case, Russian would certainly be placed on the winner's stand. It would rank first in plasticity. ~ Kato Lomb

I have met with but one or two persons in the course of my life who understood the art of Walking, that is, of taking walks, who had a genius, so to speak, for sauntering; which word is beautifully derived "from idle people who roved about the country, in the middle ages, and asked charity, under pretence of going à la sainte terre" - to the holy land, till the children exclaimed, "There goes a sainte-terrer", a saunterer - a holy-lander. They who never go to the holy land in their walks, as they pretend, are indeed mere idlers and vagabonds, but they who do go there are saunterers in the good sense, such as I mean. Some, however, would derive the word from sans terre, without land or a home, which, therefore, in the good sense, will mean, having no particular home, but equally at home everywhere. For this is the secret of successful sauntering. He who sits still in a house all the time may be the greatest vagrant of all, but the Saunterer, in the good sense, is no more vagrant than the meandering river, which is all the while sedulously seeking the shortest course to the sea. But I prefer the first, which indeed is the most probable derivation. For every walk is a sort of crusade, preached by some Peter the Hermit (1) in us, to go forth and reconquer this holy land from the hands of the Infidels. ~ Henry David Thoreau

Did your mathematical studies ever reach to the quadratic equation, Stephen?'
'They did not reach to the far end of the multiplication table. ~ Patrick O'Brian

It can be argued that the mathematics behind these images [of the orbit diagram for quadratic functions and the Mandelbrot set] is even prettier than the pictures themselves. ~ Robert L. Devaney

Quadratic reciprocity is the song of love in the land of prime numbers. ~ Kato

The Latin words humus, soil/earth, and homo, human being, have a common derivation, from which we also get our word 'humble.' This is the Genesis origin of who we are: dust - dust that the Lord God used to make us a human being. If we cultivate a lively sense of our origin and nurture a sense of continuity with it, who knows, we may also acquire humility. ~ Eugene H. Peterson

To write and speak correctly is certainly necessary; but it is not sufficient. A derivation correctly presented in the book or on the blackboard may be inaccessible and uninstructive, if the purpose of the successive steps is incomprehensible, if the reader or listener cannot understand how it was humanly possible to find such an argument ... ~ George Polya

How obvious, now, was that mathematical ratio of its sides, the quadratic sequence 1:4:9! And how naive to have imagined that the series ended there, in only three dimensions! ~ Arthur C. Clarke