# Question #054f6

Jul 30, 2017

You cannot factor this.

#### Explanation:

We are actually unable to factor this equation (unless you use the quadratic formula). This is because $65 = 13 \setminus \cdot 5$, so there is no way to create a coefficient of $4$ for the $x$ term ($13 - 5 = 8 , - 13 + 5 = - 8$)

However, let's just find the roots.

$x = \frac{- 4 \setminus \pm \sqrt{{4}^{2} - \left(4\right) \left(1\right) \left(- 65\right)}}{2} = \frac{- 4 \setminus \pm \sqrt{16 + 260}}{2} = \frac{- 4 \setminus \pm \sqrt{276}}{2} = \frac{- 4 \setminus \pm 2 \sqrt{69}}{2} = - 2 \pm \sqrt{69}$