1-x^2=0.05

Solution for 1-x^2=0.05 equation:

Simplifying
1 + -1x2 = 0.05

Solving
1 + -1x2 = 0.05

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -1x2 = 0.05 + -1

Combine like terms: 1 + -1 = 0
0 + -1x2 = 0.05 + -1
-1x2 = 0.05 + -1

Combine like terms: 0.05 + -1 = -0.95
-1x2 = -0.95

Divide each side by '-1'.
x2 = 0.95

Simplifying
x2 = 0.95

Take the square root of each side:
x = {-0.974679434, 0.974679434}