Question

4x2 +4bx−(a2−b2 )=0
Solve by the method of Completing Square. This a question from Quadratic Equation Chapter. NCERT

Answer 1

I Hope it will help you

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4x² +4bx -(a² -b²) = 0

4x² +4bx -a² + b² =0

(2x)² + 2.(2x).b + b² -a² =0

(2x + b)² -a² = 0

use formula,

a²-b² = (a -b)(a + b)

{2x + b -a}{2x + b +a} =0

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