Q. 254.6( 5 Votes )

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

36x2 – 12ax + (a2 – b2) = 0

Answer :

Given: 36x2 – 12ax + (a2 – b2) = 0

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


A = 36, B = – 12a, C = a2 – b2


Discriminant D = B2 – 4AC


= (– 12a)2 – 4.36.(a2 – b2)


= 144a2 – 144a2 + 144 b2 = 144 b2 > 0


Hence the roots of equation are real.



Roots are given by





Hence the roots of equation are


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