If c, d are the roots of the equation `(x-a) (x-b) - k=0`, then prove that a, b are the roots of the equation `(x-c) (x-d) + k= 0`

If alpha, beta are the roots of the equation (x-a) (x-b)=5, then the roots of the equation (x -alpha ) (x - beta) + 5 = 0 are : a) a, 5 b) b, 5 c) a, a d) a, b

Sum of the roots of the equation |x-3|^(2)+|x-3|-2=0 is

If the roots of the equation x^(2) + px + c =0 are 2,-2 and the roots of the equation x^(2) + bx + q=0 are -1,-2 , then the roots of the equation x^(2) + bx + c =0 are

If the roots of the equation a(b-c)x^(2) + b(c-a) x+c(a-b)=0 are equal, then prove that a, b, c are in H.P

If alpha and beta are the roots of the equation x ^(2) + alpha x + beta = 0, then

If the roots of the equation x ^(2) + 2 bx + c =0 are alpha and beta, then b ^(2) - c is equal to

Roots of the equation x^(4)-2x^(2)+4=0 forms a