Question

find the value of x in 4 x square - 2 into a square + b square into X + a square b square equal to zero using quadratic formula​

Answer 1

Answer:

$x = - \frac{ {a}^{2} }{2} \: and \: x = - \frac{ {b}^{2} }{2}$

Step-by-step explanation:

$4 {x}^{2} + 2 {a}^{2}x + 2{b}^{2} x + {a}^{2} {b}^{2} = 0$

$2x(2x + {a}^{2} ) + {b}^{2} (2x + {a}^{2}) = 0$

$(2x + {a}^{2} )(2x + {b}^{2} ) = 0$

$either \: (2x + {a}^{2} ) = 0$

$or \: (2x + {b}^{2} ) = 0$

$either \: x = - \frac{ {a}^{2} }{2}$

$or \: \: x = - \frac{ {b}^{2} }{2}$