Question

solve by factorisation method 4x square+32x+64=0​

Answer 1

$\star\:\:\:\sf\large\underline\blue{Question:-}$

• Solve the given equation by factorisation method.

$\star\:\:\:\sf\large\underline\blue{Solution:-}$

$\sf4 {x}^{2} + 32x + 64 = 0$

$\sf \implies4( {x}^{2} + 8x + 16) = 0$

$\sf \implies {x}^{2} + 8x + 16 = 0$

$\sf \implies {x}^{2} + 4x + 4x+ 16 = 0$

$\sf \implies x(x + 4) + 4(x+ 4)= 0$

$\sf \implies (x + 4)(x+ 4)= 0$

Therefore,

$\sf x = - 4 \: and \: x = - 4$

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

• The roots of the quadratic equation are -4 and -4.