# How do you factor 4x^2-152x+690=0?

Refer to explanation

#### Explanation:

Hence it is trinomial we find its roots as follows

${x}_{1 , 2} = \frac{- {b}^{2} \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

where $a = 4 , b = - 152 , c = 690$ hence we have that

${x}_{1} = \frac{1}{2} \cdot \left(38 - \sqrt{754}\right)$ and ${x}_{2} = \frac{1}{2} \cdot \left(38 + \sqrt{754}\right)$

Hence it can be factor as follows

$4 {x}^{2} - 152 x + 690 = \left(x - {x}_{1}\right) \cdot \left(x - {x}_{2}\right)$