Question

If α and β are the zeroes of the polynomial f(x) = x²+ 10x + k such that α - β = 6, then find the value of k.

Answer 1

Step-by-step explanation:

GIVEN:

• ${x}^{2} + 10x + k \\ let \: find \: \alpha + \beta \: i.e \: sum \: of \: roots \\ = - 10 \\ \alpha + \beta = - 10 \\ \alpha - \beta = 6 \\ by \: simplification \\ \alpha = - 2 \\ \beta = - 8 \\ then \: substitute \: \: that \: we \: get \: \alpha {or} \beta \: in \: equation \\ then \: k = 16$