Question

4x²-2(a + b)x + ab = 0, then x =​

Answer 1

Step-by-step explanation:

4x² +4bx -(a² -b²) = 0

4x² +4bx -a² + b² =0

On factorising we get,

(2x)² + 2.(2x).b + b² -a² =0

(2x + b)² -a² = 0

using the identity a²-b² = (a -b)(a + b)

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

We get

x = (a – b)/2 , – (a + b)/2