Question

if alpha and beta are the zeros of the polynomial x square - 5 x + K such that Alpha minus beta is equal to 1 find the value of k

Answer 1

alpha +beta= -b/a

alpha + beta =5 and

alpha - beta =1

adding both eq

we get alpha=3 and beta =2

and alpha into beta = c/a

so 3*2=k

6=k