Question

 In an expression ax² + bx + c the sum and product of the factors respectively …….. ​

Answer 1

Answer:

MARK AS BRAINLIEST

by using Quadratic formula;

$x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ sum \: of \: factors \: is. \\ \\ \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} + \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ = \frac{ - 2b}{2a} \\ \\ = \frac{ - b}{a}$

$product \: of \: factors \: is. \\ \\ \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \times \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ = \frac{ {( - b)}^{2} - ({ \sqrt{ {b}^{2} - 4ac} })^{2} }{4 {a}^{2} } \\ \\ = \frac{ {b}^{2} - {b}^{2} + 4ac }{4 {a}^{2} } \\ \\ = \frac{c}{a}$