solve the quadratic eq. 4x^2 + 4x - (a^2 - b^2) by the method of FACTORISATION ONLY..N

solve the quadratic eq. 4x^2 + 4x - (a^2 - b^2) by the method of FACTO

1.	solve the quadratic eq. 4x^2 + 4x - (a^2 - b^2) by the method of FACTORISATION ONLY..N
Answer» We have,4x2 - 2 (a2 + b2) x + a2b2 = 0{tex}{/tex}{tex}\\Rightarrow 4x^2-(2a^2+2b^2)x+a^2b^2=0{/tex}{tex}\\Rightarrow{/tex}4x2 - 2a2x - 2b2x + a2b2 = 0{tex}{/tex}{tex}\\Rightarrow{/tex}\xa02x(2x - a2) - b2(2x - a2) = 0{tex} \\Rightarrow{/tex}\xa0(2 x - a2) ( 2x - b2) = 0{tex} \\Rightarrow{/tex}\xa0(2x - a2) = 0 or, (2x - b2) = 0{tex} \\Rightarrow \\quad x = \\frac { a ^ { 2 } } { 2 } \\text { or, } x = \\frac { b ^ { 2 } } { 2 }{/tex}