x^2-x+11=1

Solution for x^2-x+11=1 equation:

Simplifying
x2 + -1x + 11 = 1

Reorder the terms:
11 + -1x + x2 = 1

Solving
11 + -1x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
11 + -1 + -1x + x2 = 1 + -1

Combine like terms: 11 + -1 = 10
10 + -1x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
10 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -1x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -1x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x + x2 = 0 + -10
-1x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1x + x2 = -10

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -10 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + -1x + x2 = -9.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.