Question

Hello, friends .......... please answer my question I will mark as brainlist. "if alpha and beta are the zeros of the quadratic polynomial f(x)=ax2+bx+c, then evaluate. alpha - beta."

Answer 1

$from \: \: the \: \: polynomial \\ \alpha + \beta = \frac{ - b}{a} \: \: \: and \: \: \: \alpha \beta = \frac{c}{a} \\ \\ {( \alpha - \beta )}^{2} = {( \alpha + \beta )}^{2} - 4 \alpha \beta \\ = {( \frac{ - b}{a} )}^{2} - 4 \times \frac{c}{a} = \frac{ {b}^{2} - 4ac}{ {a}^{2} } \\ \\ \alpha - \beta = \frac{ \sqrt{ {b}^{2} - 4ac} }{a}$

Answer 2

Answer:

Hope it's helpful for you

Mark my answers as brainlist ☺️