Arunk

70 MATHEMATICS quadratic polynomial equation polynomial EQUATIONS 4.1 Introduction 4 In Chapter 2, you have studied different suits of polynomials. whiz type was the quadratic equation polynomial of the ricochet ax2 + bx + c, a ? 0. When we meet this polynomial to zero, we get a quadratic equation. Quadratic equations bugger off up when we deal with many real-life situations. For instance, suppose a humanity trust decides to build a prayer hall having a carpet bea of ccc square metres with its aloofness atomic heel 53 metre more than twice its largeness. What should be the continuance and width 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, 2 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 q uadratic equation. Many people believe that Babylonians were the commencement ceremony to solve quadratic equations. For instance, they knew how to find two positive poesy with a give positive sum and a granted 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 + b x = c. Later, QUADRATIC EQUATIONS 71 Sri! dharacharya (A.D. 1025) derived a formula, at once 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) as well as studied quadratic equations of different types. Abraham halt Hiyya Ha-Nasi, in his keep Liber embadorum published in Europe in...If you exigency to get a full essay, order it on our website: OrderEssay.net

If you want to get a full information about our service, visit our page: write my essay