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

Question

1501 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-27T00:52:00

$n=+-sqrt39$

$4n^2+1=157$

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

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

Finally, square root each side:
$n=+-sqrt39$

How do you solve the quadratic 4n^2+1=1574n^2+1=157 using any method?