# How do you solve using the completing the square method x^2 + 2x = 3 ?

Apr 9, 2018

$x = 1$

#### Explanation:

=${x}^{2} + 2 x + 1 = 3 + 1$

=${\left(x + 1\right)}^{2} = 4$

Taking square root on both sides

=$\sqrt{{\left(x + 1\right)}^{2}} = \sqrt{4}$

=$x + 1 = \pm 2$

=$x = 1$ & $x = - 3$

Check

=${\left(1\right)}^{2} + 2 \left(1\right) = 3$

=$3 = 3$

Also ${\left(- 3\right)}^{2} + 2 \left(- 3\right) = 3$

=$3 = 3$

Hope it helps!