Question

Ifa, B are the zeroes of f(x)=2x² + 8x-8, then prove that a+B-aß=0.

PLIS TELL​

Answer 1

$\sf\underline{Question:}$

If α and β are the zeroes of f(x)=2x² + 8x-8, then prove that α+β-αβ =0.

$\sf\underline{Answer:}$

$f(x)=2x² + 8x-8$

Here : a = 2 ; b = 8 ; c = -8

Alpha+ Beta is the sum of zeroes

$\alpha + \beta = \frac{ - b}{a}$

$\alpha + \beta = \frac{ - 8}{2} = - 4$

Alpha × Beta is the product of the zeroes

$\alpha \beta = \frac{c}{a}$

$\alpha \beta = \frac{ - 8}{2} = - 4$

$\alpha + \beta - \alpha \beta = - 4 - ( - 4)=0$

Therefore,

$\alpha + \beta - \alpha \beta = 0$

Have a good evening!