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MATHEMATICS

quadratic polynomial EQUATIONS
4.1 Introduction

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In Chapter 2, you have studied different types of polynomials. whiz type was the quadratic equation polynomial of the ricochet ax2 + bx + c, a ? 0. When we oppose this polynomial to zero, we get a quadratic equation. Quadratic equations commence up when we deal with many real-life situations. For instance, suppose a benevolence trust decides to build a prayer hall having a carpet bea of ccc square metres with its aloofness atomic number 53 metre more than twice its largeness. What should be the length and breadth of the hall? Suppose the breadth of the hall is x metres. Then, its length should be (2x + 1) metres. We can depict Fig. 4.1 this information pictorially as shown in Fig. 4.1. Now, So, Therefore,
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area of the hall = (2x + 1). x m2 = (2x2 + x) m2 2x2 + x = 300 2x + x 300 = 0 (Given)

So, the breadth of the hall should contact the equation 2x2 + x 300 = 0 which is a quadratic equation. Many people believe that Babylonians were the first to solve quadratic equations. For instance, they knew how to find two positive numbers with a give positive sum and a given positive product, and this paradox is equivalent to solving a quadratic equation of the form x2 px + q = 0.



Greek mathematician Euclid developed a geometrical move up for finding out lengths which, in our present day terminology, are solutions of quadratic equations. Solving of quadratic equations, in general form, is often credited to ancient Indian mathematicians. In fact, Brahmagupta (A.D.598665) gave an explicit ordinance to solve a quadratic equation of the form ax2 + bx = c. Later,

QUADRATIC EQUATIONS

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Sridharacharya (A.D. 1025) derived a formula, now known as the quadratic formula, (as quoted by Bhaskara II) for solving a quadratic equation by the manner of completing the square. An Arab mathematician Al-Khwarizmi (about A.D. 800) also studied quadratic equations of different types. Abraham halt Hiyya Ha-Nasi, in his book Liber embadorum published in Europe in...If you exigency to get a full essay, order it on our website: Orderessay



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