41=r^2-2

Solution for 41=r^2-2 equation:

Simplifying
41 = r2 + -2

Reorder the terms:
41 = -2 + r2

Solving
41 = -2 + r2

Solving for variable 'r'.

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

Add '-1r2' to each side of the equation.
41 + -1r2 = -2 + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
41 + -1r2 = -2 + 0
41 + -1r2 = -2

Add '-41' to each side of the equation.
41 + -41 + -1r2 = -2 + -41

Combine like terms: 41 + -41 = 0
0 + -1r2 = -2 + -41
-1r2 = -2 + -41

Combine like terms: -2 + -41 = -43
-1r2 = -43

Divide each side by '-1'.
r2 = 43

Simplifying
r2 = 43

Take the square root of each side:
r = {-6.557438524, 6.557438524}