# How do you solve x^2= 14x + 5?

Jun 26, 2017

See below.

#### Explanation:

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

${x}^{2} - 14 x - 5 = 0$

Since we cannot factor this, we must use the quadratic formula.

$x = \setminus \frac{14 \setminus \pm \setminus \sqrt{196 + 20}}{2} = \setminus \frac{14 \setminus \pm \setminus \sqrt{216}}{2} = \setminus \frac{14 \setminus \pm 6 \setminus \sqrt{6}}{2} = 7 \setminus \pm 3 \setminus \sqrt{6}$