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# Solve the Following Quadratic Equations by Factorization: 4x2 + 4bx - (A2 - B2) = 0 - Mathematics

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#### Question

Solve the following quadratic equations by factorization:

4x2 + 4bx - (a2 - b2) = 0

#### Solution

4x2 + 4bx - (a2 - b2) = 0

4x2 + 2(a + b)x - 2(a - b)x - (a2 - b2) = 0

2x(2x + a + b) - (a - b)(2x + a + b) = 0

(2x - (a - b))(2x + a + b) = 0

Therefore,

2x - (a - b) = 0

2x = a - b

x=(a-b)/2

or,

2x + a + b = 0

2x = -(a + b)

x=(-(a+b))/2

Hence, x=(a-b)/2 or x=(-(a+b))/2

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#### APPEARS IN

RD Sharma Solution for Class 10 Maths (2018 (Latest))