Prove that if the roots of `9x^2+ 4ax + 4 = 0` are imaginary then -3 < a < 3.

Find all the roots of x^4 - 81 =0

If the roots of the equation ax^2 + bx + c = 0 are in the ratio 2:3 , then prove that 6b^2 = 25ac

If one root of the equation x^2 +px+ 12 = 0 be 4 and if the roots of the equation x^2 + px + q = 0 be equal, find q

State whether B is a subset of A or not:A = the set of the real roots of x^4 -1 = 0 , B = the set of the real roots of x^2 -1=0

If - 4 is a root of x^2 + px -4 = 0 and the equation x^2 + px + q = 0 has equal roots find p and q.

The roots of the equation x+2y=4 and 2x-y=0 are

The roots of the equation x+2y=4 and 2y-x=0 are

The roots of the equation ax^2+x+b=0 are equal if

Prove that log_3 2=log_9 4=log_27 8