# How do you solve the quadratic 4n^2+1=157 using any method?

Nov 27, 2016

$n = \pm \sqrt{39}$

#### Explanation:

$4 {n}^{2} + 1 = 157$

Subtract 1 from each side:
$4 {n}^{2} = 156$

Divide each side by 4:
${n}^{2} = 39$

Finally, square root each side:
$n = \pm \sqrt{39}$