Question

if Alpha and Beta are the zeroes of the polynomial
f(x)= x square-x-k,
such that Alpha-Beta=9, find 'k'

Answer 1

hope it will help you!!!

Answer 2

$heya \\ \\ \\ \alpha + \beta = 1 \: \: \: \: \: and \: \: \: \: \: \alpha \beta = - k \\ \\ \alpha - \beta = \sqrt{( \alpha + \beta ) {}^{2} - 4 \alpha \beta } \\ \\ 9 = \sqrt{1 + 4k} \\ \\ squaring \: both \: sides \\ \\ 1 + 4k = 81 \\ \\ 4k = 80 \\ \\ k = 20 \\ \\ have \: \: a \: nyc \: tym$