4n^2+1=241

Solution for 4n^2+1=241 equation:

Simplifying
4n2 + 1 = 241

Reorder the terms:
1 + 4n2 = 241

Solving
1 + 4n2 = 241

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 4n2 = 241 + -1

Combine like terms: 1 + -1 = 0
0 + 4n2 = 241 + -1
4n2 = 241 + -1

Combine like terms: 241 + -1 = 240
4n2 = 240

Divide each side by '4'.
n2 = 60

Simplifying
n2 = 60

Take the square root of each side:
n = {-7.745966692, 7.745966692}