Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 30 of Exercise 10C
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30
Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
x2 – 4ax – b2 + 4a2 = 0
Given: x2 – 4ax – b2 + 4a2 = 0
Comparing with standard quadratic equation Ax2 + Bx + C = 0
A = 1, B = – 4a, C = – b2 + 4a2
Discriminant D = B2 – 4AC
= (– 4a)2– 4.1. (– b2 + 4a2)
= 16a2 + 4b2 – 16a2 = 4 b2 > 0
Hence the roots of equation are real.
Roots 
are given by
x = (2a – b) or x = (2a + b)
Hence the roots of equation are (2a – b) or (2a + b)
