Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 35 of Exercise 10C
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35
Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
a2b2x2 – (4b4 – 3a4)x – 12a2b2 = 0, a ≠ 0 and b ≠ 0
Given: a2b2x2 – (4b4 – 3a4)x – 12a2b2 = 0
Comparing with standard quadratic equation Ax2 + Bx + C = 0
A = a2b2, B = – (4b4 – 3a4), C = – 12a2b2
Discriminant D = B2 – 4AC
= [ – (4b4 – 3a4)]2 – 4a2b2. – 12a2b2
= 16b8 – 24a4b4 + 9a8 + 48 a4b4
= 16b8 + 24a4b4 + 9a8
= (4b4 + 3a4)2 > 0 Using a2 + 2ab + b2 = (a + b)2
Hence the roots of equation are real.
= 
Roots 
are given by
Hence the roots of equation are 
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