1=.1111k^2

Solution for 1=.1111k^2 equation:

Simplifying
1 = 0.1111k2

Solving
1 = 0.1111k2

Solving for variable 'k'.

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

Add '-0.1111k2' to each side of the equation.
1 + -0.1111k2 = 0.1111k2 + -0.1111k2

Combine like terms: 0.1111k2 + -0.1111k2 = 0.0000
1 + -0.1111k2 = 0.0000

Add '-1' to each side of the equation.
1 + -1 + -0.1111k2 = 0.0000 + -1

Combine like terms: 1 + -1 = 0
0 + -0.1111k2 = 0.0000 + -1
-0.1111k2 = 0.0000 + -1

Combine like terms: 0.0000 + -1 = -1
-0.1111k2 = -1

Divide each side by '-0.1111'.
k2 = 9.00090009

Simplifying
k2 = 9.00090009

Take the square root of each side:
k = {-3.000150011, 3.000150011}