Question

لا
علمبرمه تلمبهميرهم و للعميل عبد
if the root of a quadratic equation.
are - I and 3​

Answer 1

Question

find the quadratic equations whose root are -1 and 3

solution

$given \: \\ roots \: of \: equation \: - 1 \: and \: 3 \\ \\ let \: \alpha \: be - 1 \: and \: \beta \: be \: 3 \\ \\ so \: sum \: of \: root \: = \alpha + \beta = - 1 + 3 = 2 \\ \alpha + \beta = 2 \\ product \: of \:root \: = \alpha \beta = (- 1)(3) = - 3 \\ \alpha \beta = - 3\\ \\ formula \: \: | {x}^{2} - ( \alpha + \beta )x \: + \alpha \beta | \\ \: \\ by \: putting \: value \: in \: equation \: above \: \\ \\ {x}^{2} - 2x - 3 \\ \\ \\ your \: given \: quadratic \: polynomial \: is \: {x}^{2} - 2x - 3$

hope it helps you

be brainly