-11r^2+1=0

Solution for -11r^2+1=0 equation:

Simplifying
-11r2 + 1 = 0

Reorder the terms:
1 + -11r2 = 0

Solving
1 + -11r2 = 0

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 + -11r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11r2 = 0 + -1
-11r2 = 0 + -1

Combine like terms: 0 + -1 = -1
-11r2 = -1

Divide each side by '-11'.
r2 = 0.09090909091

Simplifying
r2 = 0.09090909091

Take the square root of each side:
r = {-0.301511345, 0.301511345}