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

If the roots of the equation `bx^(2)+cx+a=0` be imaginary then fro all real value4s 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

Real roots of the equation x^(2)+6|x|+5=0 are

If the roots of the equation x^(2) - 2ax + a^(2) + a - 3 = 0 are real and less then 3, then :

If the roots of the equation x^(2)-b x+c=0 be two eanseeutive integers then b^(2)-4 a c=

If the roots of the equations (b-c) x^(2) + (c-a) x+( a-b) =0 are equal , then prove that 2b=a+c

If the roots of the equation x^(3) + ax^(2) + bx + c = 0 are in A.P., 2a^(3) - 9ab =

The sum of the real roots of the equation x^(2)+|x|-12=0 is

If m and n are the roots of the quadratic equations x^(2)- 6x+ 2 =0 , then the value of (m+ n )^(2) is

If one of the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 is 1, the other root is

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