Question

if sum of zeros is equal to product of polynomial x2-kx+k2

Answer 1

Answer:

$For\:ax^{2} +bx+c=0\\\:\alpha+\beta=\frac{-b}{a} \\\alpha\beta=\frac{c}{a}\\now\:in\\x^{2}  -kx+k^{2} =0\\alpha+\beta=\alpha\beta\\k=k^{2}\\k(k-1)=0\\k=0\\k=1$

Hope it helps