Question

-Under the Quadratic equation (ROOTS)
Determine the possible values of k so that the roots of 4x^2+kx+35=0 differ by 1

Answer 1

let the two roots be alpha and beta

alhpha + beta = -k/4

(alpha)(beta)=35/4

(alpha + beta ) ^2 = ( alpha - beta )^2 + 4(alpha)(beta)

k^2/16 = 1+35
k^2 = 36(16)

k = 6* 4 = 24