Question

Factorise by Completing square method:${4p}^2-12p+6$

Answer 1

$4p^2-12p+6=0$

${\left(2p\right)}^2-2\times 2p\times 3+9-9+6=0$

${(2p-3)}^2-3=0$

$2p-3=\pm \sqrt{3}$

$2p=3\pm \sqrt{3}$

$\therefore p=\frac{3\pm \sqrt{3}}{2}$