Question

if α and β are the zeroes of polynomial x²+5x+k such that α-β=1 find value of k..

first answer will be marked as brainliest.

Answer 1

${x}^{2} + 5x + k \\ comparing \: the \: equation \: with \: {ax}^{2} + bx + c \\ a = 1 \\ b = 5 \\ c = k \\ \alpha + \beta = \frac{ - b}{a} \\ = > \alpha + \beta = \frac{ - (5)}{1} \\ = > - 5 \\ \alpha \beta = \frac{c}{a} \\ = > \frac{k}{1} \\ = > k$
only this much I am able to do