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

##
A: Greater than #-4ab#

B: Less than #-4ab#

C: Greater than #4ab#

D: Less than #4ab#

The answer is #(A)# for your reference

A: Greater than

B: Less than

C: Greater than

D: Less than

The answer is

##### 1 Answer

Aug 2, 2017

Given thar the roots of the equation

So

Let

For real values of x we have

comparing [1] and [2]

we get