# How do you solve using the completing the square method 3x^2+14x=5?

Jun 14, 2018

color(crimson)(x = 1/3, -5

#### Explanation:

$3 {x}^{2} + 14 x = 5$

$3 {x}^{2} + 14 x + \frac{49}{3} = 5 + \frac{49}{3}$

${\left(\sqrt{3} x + \frac{7}{\sqrt{3}}\right)}^{2} = {\left(\frac{8}{\sqrt{3}}\right)}^{2}$

$\sqrt{3} x + \frac{7}{\sqrt{3}} = \pm \frac{8}{\sqrt{3}}$

$\sqrt{3} x = \pm \frac{8}{\sqrt{3}} - \frac{7}{\sqrt{3}}$

$x = \left(\frac{1}{3}\right) \left(- 7 \pm 8\right)$

color(crimson)(x = 1/3, -5