Question

4x2-2(a2-b2)x+a2-b2=0​

Answer 1

$4 {x}^{2} - 2( {a}^{2} - {b}^{2} ) x+ {a}^{2} - {b}^{2} = 0 \\ 4 {x}^{2} - 2 {a}^{2} x + 2 {b}^{2} x + {a}^{2} - {b}^{2} = 0 \\ 4 {x}^{2} - 2 {a}^{2} x + {a}^{2} + 2 {b}^{2} x - {b}^{2} = 0 \\ 4 {x}^{2} - {a}^{2} (2x - 1) + {b}^{2} (2 {x}^{2} - 1) = 0 \\ {(2x)}^{2} + (2x - 1)( {b}^{2} - {a}^{2} ) = 0$