x^2-0.1x+1=0

Solution for x^2-0.1x+1=0 equation:

Simplifying
x2 + -0.1x + 1 = 0

Reorder the terms:
1 + -0.1x + x2 = 0

Solving
1 + -0.1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.1x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.1x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.1x + x2 = 0 + -1
-0.1x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.1x + x2 = -1

The x term is -0.1x.  Take half its coefficient (-0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
-0.1x + 0.0025 + x2 = -1 + 0.0025

Reorder the terms:
0.0025 + -0.1x + x2 = -1 + 0.0025

Combine like terms: -1 + 0.0025 = -0.9975
0.0025 + -0.1x + x2 = -0.9975

Factor a perfect square on the left side:
(x + -0.05)(x + -0.05) = -0.9975

Can't calculate square root of the right side.

The solution to this equation could not be determined.