Question

21. If a and B are the zeros of the polynomial f(x) = x2 – 5x +k such that
a-B = 1, find the value of k.
on of the polynomial f(x) = 6x2 + x-2, find th
me​

Answer 1

Answer:

$\alpha + \beta = 5 \\ \alpha \beta = k \\ now \: \alpha - \beta = 1 \\ squaring \: both \: sides \\ {( \alpha - \beta )}^{2} = 1 \\ {( \alpha + \beta )}^{2} - 4 \alpha \beta = 1 \\ 25 - 4k = 1 \\ 4k = 24 \\ k = 6$

Answer 2

Answer:

this is correct........................