Q. 175.0( 3 Votes )

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

2x2 + ax – a2 = 0

Answer :

Given: 2x2 + ax – a2 = 0

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

A = 2, B = a, C = – a2

Discriminant D = B2 – 4AC

= (a)2 – 4.2. – a2

= a2 + 8 a2 = 9a20

Hence the roots of equation are real.

Roots are given by

Hence the roots of equation are

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