Question

solve
4x²+46x -(a²-b²)=0 by factorisation method​

Answer 1

Answer:

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