The equation whose roots are the squares...

The equation whose roots are the squares of the roots of the equation` 2x ^(2) + 3x +1 = 0` is

A

`4x ^(2) + 5x + 1=0`

B

`4x ^(2) - x +1 =0`

C

`4x ^(2) - 5x - 1 =0`

D

`4x ^(2) - 5x + 1=0`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The quadratic equation whose roots are three times the roots of the equation 2x^(2)+3x+5=0 , is

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

The value of a so that the sum of the squares of the roots of the equation x ^(2) -(a -2) x -a + 1 =0 assumes the least values is : a)0 b)1 c)2 d)3

The number of real roots of the equation |x|^(2) - 3|x| + 2 = 0 is a)1 b)2 c)3 d)4

The number of roots of the equation |x|=x^(2)+x-4 is

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

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