Q. 345.0( 1 Vote )

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

3a2x2 + 8abx + 4b2 = 0, a ≠ 0

Answer :

Given: 3a2x2 + 8abx + 4b2 = 0

Comparing with standard quadratic equation Ax2 + Bx + C = 0

A = 3a2, B = 8ab, C = 4b2

Discriminant D = B2 – 4AC

= (8ab)2 – 4.3a2. 4b2

= 64 a2b2 – 48a2b2 = 16a2b2 > 0

Hence the roots of equation are real.

= 4ab

Roots are given by

Hence the roots of equation are

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