# How do you solve using the completing the square method 5x^2 - 7x + 2 = 0?

Apr 11, 2016

$x = \frac{7 \pm 3}{10}$

#### Explanation:

$5 {x}^{2} - 7 x = - 2$. Divide both sides by 5
${x}^{2} - \frac{7 x}{5} = - \frac{2}{5}$
${x}^{2} - \frac{7 x}{5} + \frac{49}{100} = - \frac{2}{5} + \frac{49}{100}$
${\left(x - \frac{7}{10}\right)}^{2} = \frac{9}{100}$
$\left(x - \frac{7}{10}\right) = \pm \frac{3}{10}$
$x = \frac{7}{10} \pm \frac{3}{10} = \frac{7 \pm 3}{10}$