1=0.11k^2

Solution for 1=0.11k^2 equation:

Simplifying
1 = 0.11k2

Solving
1 = 0.11k2

Solving for variable 'k'.

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

Add '-0.11k2' to each side of the equation.
1 + -0.11k2 = 0.11k2 + -0.11k2

Combine like terms: 0.11k2 + -0.11k2 = 0.00
1 + -0.11k2 = 0.00

Add '-1' to each side of the equation.
1 + -1 + -0.11k2 = 0.00 + -1

Combine like terms: 1 + -1 = 0
0 + -0.11k2 = 0.00 + -1
-0.11k2 = 0.00 + -1

Combine like terms: 0.00 + -1 = -1
-0.11k2 = -1

Divide each side by '-0.11'.
k2 = 9.090909091

Simplifying
k2 = 9.090909091

Take the square root of each side:
k = {-3.015113446, 3.015113446}