83=(n*n)-5

Solution for 83=(n*n)-5 equation:

Simplifying
83 = (n * n) + -5

Multiply n * n
83 = (n2) + -5
83 = n2 + -5

Reorder the terms:
83 = -5 + n2

Solving
83 = -5 + n2

Solving for variable 'n'.

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

Add '-1n2' to each side of the equation.
83 + -1n2 = -5 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
83 + -1n2 = -5 + 0
83 + -1n2 = -5

Add '-83' to each side of the equation.
83 + -83 + -1n2 = -5 + -83

Combine like terms: 83 + -83 = 0
0 + -1n2 = -5 + -83
-1n2 = -5 + -83

Combine like terms: -5 + -83 = -88
-1n2 = -88

Divide each side by '-1'.
n2 = 88

Simplifying
n2 = 88

Take the square root of each side:
n = {-9.38083152, 9.38083152}