Question

if alpha and beta are the roots of the polynomial x square minus x minus K and Alpha minus beta equals to minus 7 then the value of k

Answer 1

alpha -7=beta
alpha +beta =-b/a
alpha +alpha -7=1
2alpha=8
alpha=4
put alpha,s value in first equation
4-7=beta
-3=beta
alpha × beta = c/a
-3×4=-k
-12=-k
12=k