If the roots of the equation bx^(2) + cx...

If the roots of the equation `bx^(2) + cx +a= 0` are imaginary then for all real values of x, the expression `3b^(2)x^(2) + 6bcx + 2c^(2)` is

A

greater than 4ab

B

less than 4ab

C

greater than `-4ab`

D

less than `-4ab`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

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

If the roots of the equation x^(2) - bx + c = 0 are two consecutive integers, then b^(2) - 4c is

If alpha and alpha^(2) are the roots of the equation x^(2) - 6x + c = 0 , then the positive value of c is

If one of the roots of the quadratic equation a x^(2) - b x + a = 0 is 6, then value of (b)/(a) is equal to

If a is a root of the equation x^(2) - 3x + 1 =0 , then the value of (a^3)/(a^6 + 1) is