x^2-x+3=1

Solution for x^2-x+3=1 equation:

Simplifying
x2 + -1x + 3 = 1

Reorder the terms:
3 + -1x + x2 = 1

Solving
3 + -1x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
3 + -1 + -1x + x2 = 1 + -1

Combine like terms: 3 + -1 = 2
2 + -1x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
2 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x + x2 = 0 + -2
-1x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x + x2 = -2

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 = -2 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1x + x2 = -1.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.