3n^2+1=289

Solution for 3n^2+1=289 equation:

Simplifying
3n2 + 1 = 289

Reorder the terms:
1 + 3n2 = 289

Solving
1 + 3n2 = 289

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 + 3n2 = 289 + -1

Combine like terms: 1 + -1 = 0
0 + 3n2 = 289 + -1
3n2 = 289 + -1

Combine like terms: 289 + -1 = 288
3n2 = 288

Divide each side by '3'.
n2 = 96

Simplifying
n2 = 96

Take the square root of each side:
n = {-9.797958971, 9.797958971}