x^2-x+9=5-1

Solution for x^2-x+9=5-1 equation:

Simplifying
x2 + -1x + 9 = 5 + -1

Reorder the terms:
9 + -1x + x2 = 5 + -1

Combine like terms: 5 + -1 = 4
9 + -1x + x2 = 4

Solving
9 + -1x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
9 + -4 + -1x + x2 = 4 + -4

Combine like terms: 9 + -4 = 5
5 + -1x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
5 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -1x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x + x2 = 0 + -5
-1x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x + x2 = -5

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 = -5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -5 + 0.25

Combine like terms: -5 + 0.25 = -4.75
0.25 + -1x + x2 = -4.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.