Question

if alpha and beta are zeros of the polynomial x square minus x minus K such that Alpha minus beta is equal to 9 find the value of k​

Answer 1

GOOD MORNING

$( \alpha - \beta ) = \sqrt{( \alpha + \beta ) {}^{2} - 4 \alpha \beta } \\ \\ \\ ( \alpha + \beta ) = 1 \\ \\ and \\ \\ \alpha \beta = k \\ \\ 9 = \sqrt{1 - 4k} \\ \\ squaring \: both \: sides \\ \\ \\ 81 = 1 - 4k \\ \\ or \\ \\ 81 = - (1 - 4k) \\ \\ k = 20 \: \: \: \: \: \: \: or \: \: \: \: \: \: k = 41 \div 2$

Answer 2

so, your value of k= 20.

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