Question

Solve the following quadratic equation by completing the square method.
$m^2-5m=-3$

Answer 1

$m^2-5m+3=0$

$\Rightarrow m^2-5m+\frac{25}{4}-\frac{25}{4}+3=0$

$\Rightarrow (m-\frac{5}{2}{)}^2=\frac{13}{4}$

$\Rightarrow m=+\frac{5}{2}\pm \sqrt{\frac{13}{4}}$

on simplifying,

$\Rightarrow m=+\frac{5}{2}+\frac{\sqrt{13}}{2}$ or $m=+\frac{5}{2}-\frac{\sqrt{13}}{2}$