5r^2+1=121

Solution for 5r^2+1=121 equation:

Simplifying
5r2 + 1 = 121

Reorder the terms:
1 + 5r2 = 121

Solving
1 + 5r2 = 121

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 5r2 = 121 + -1

Combine like terms: 1 + -1 = 0
0 + 5r2 = 121 + -1
5r2 = 121 + -1

Combine like terms: 121 + -1 = 120
5r2 = 120

Divide each side by '5'.
r2 = 24

Simplifying
r2 = 24

Take the square root of each side:
r = {-4.898979486, 4.898979486}