100n^2+1=82

Solution for 100n^2+1=82 equation:

Simplifying
100n2 + 1 = 82

Reorder the terms:
1 + 100n2 = 82

Solving
1 + 100n2 = 82

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 + 100n2 = 82 + -1

Combine like terms: 1 + -1 = 0
0 + 100n2 = 82 + -1
100n2 = 82 + -1

Combine like terms: 82 + -1 = 81
100n2 = 81

Divide each side by '100'.
n2 = 0.81

Simplifying
n2 = 0.81

Take the square root of each side:
n = {-0.9, 0.9}