In mathematics, a quadratic is a type of problem that deals with a variable multiplied by itself — an operation known as squaring. This language derives from the area of a square being its side length multiplied by itself. The word “quadratic” comes from quadratum, the Latin word for square.Apr 7, 2015
We use the word quadratic because “quadra” refers to a square, and the leading term in a quadratic equation is “squared.” This is consistent with calling a degree three polynomial a “cubic” for the leading term represents a cube.
It is derived from quadratus which is the past participle of quadrare which means “to make square.” From this it is clear that part of the word is connected to the Latin word for “four,” though not a way which one might expect: it refers to squaring, and a square is a regular four-sided figure.
Around 700AD the general solution for the quadratic equation, this time using numbers, was devised by a Hindu mathematician called Brahmagupta, who, among other things, used irrational numbers; he also recognised two roots in the solution.
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product’s profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
The prefix quad means “four” and quadratic expressions are ones that involve powers of x up to the second power, not the fourth power.
The roots are the points where y = 0. You want to factor the equation to the form y = (x – a)(x – b). If you multiply two numbers and their product is 0, then one of the numbers must be 0. That is why we set the quadratic equal to 0.
The standard form of a quadratic function is f(x)=a(x−h)2+k. The vertex (h,k) is located at h=–b2a,k=f(h)=f(−b2a).
In the history of mathematics, Egyptian algebra, as that term is used in this article, refers to algebra as it was developed and used in ancient Egypt. Ancient Egyptian mathematics as discussed here spans a time period ranging from c. 3000 BC to ca.
1. | Who is the Father of Mathematics? |
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4. | Notable Inventions |
5. | Death of the Father of Mathematics |
6. | Conclusion |
7. | FAQs |
Hitting a Golf Ball C
The graph represents a golf ball hit with an initial velocity of 12 meters per second from a platform 6 feet above ground on Earth. The height of the ball after x seconds is given by the equation f(x) = 6 + 12x – 4.8×2.
To solve quadratics by factoring, we use something called “the Zero-Product Property”. … Therefore, when solving quadratic equations by factoring, we must always have the equation in the form “(quadratic expression) equals (zero)” before we make any attempt to solve the quadratic equation by factoring.
A QUADRATIC is a polynomial whose highest exponent is 2. ax² + bx + c. The coefficient of x² is called the leading coeffieient.
There are three different forms of quadratic equations, and they are: Standard form: The standard form of a quadratic equation is represented by y = ax^{2} + bx + c where a, b, and c are just the numbers.
mathematician Brahmagupta
The first modern equivalent of numeral zero comes from a Hindu astronomer and mathematician Brahmagupta in 628. His symbol to depict the numeral was a dot underneath a number.Mar 14, 2021
Euclid
Euclid, The Father of Geometry.Sep 2, 2018
Muhammad ibn Musa al-Khwarizmi
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Today it is generally believed that calculus was discovered independently in the late 17th century by two great mathematicians: Isaac Newton and Gottfried Leibniz.
Emmy Noether | |
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Scientific career | |
Fields | Mathematics and physics |
Institutions | University of Göttingen Bryn Mawr College |
The vertex form of an equation is an alternate way of writing out the equation of a parabola. … From this form, it’s easy enough to find the roots of the equation (where the parabola hits the x -axis) by setting the equation equal to zero (or using the quadratic formula).
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