If the roots of `a^2x^2 + 2 bx + c^2 =0` are imaginary then the roots of b`(x^2+1)+2acx =0` are

If the roots of ax^(2)+b(2x+1)=0 are imaginary then roots of bx^(2)+(b-c)x=c+a-b are

If theroots of the equation ax^(2)-2bx+c=0 are imaginary,find the number of real roots of 4e^(x)+(a+c)^(2)(x^(3)+x)=4b^(2)x

If one root of ax^(2)+bx-2c=0(a,b,c real) is imaginary and 8a+2b>c, then

If the roots of ax^(2)+2bx+c=0 be possible and different then the roots of (a+c)(ax^(2)+2bx+2c)=2(ac-b^(2))(x^(2)+1) will be impossible and vice versa

If alpha and beta are the roots of the equation x^(2) + bx + c = 0 , then the roots of the equation cx^(2) -b x + 1=0 are

The roots of ax^(2)+bx+c=0 are greater than the roots of 2x^(2)+3x+1=0 by unity, then

If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are

Prove that the roots of ax^(2)+2bx + c = 0 will be real distinct if and only if the roots of (a+c)(ax^(2)+2bx + c)=2(ac-.b^(2))(x^(2)+1) are imaginary.

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