x^2-2x+23=0

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Solution for x^2-2x+23=0 equation:


Simplifying
x2 + -2x + 23 = 0

Reorder the terms:
23 + -2x + x2 = 0

Solving
23 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-23' to each side of the equation.
23 + -2x + -23 + x2 = 0 + -23

Reorder the terms:
23 + -23 + -2x + x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -2x + x2 = 0 + -23
-2x + x2 = 0 + -23

Combine like terms: 0 + -23 = -23
-2x + x2 = -23

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -23 + 1

Reorder the terms:
1 + -2x + x2 = -23 + 1

Combine like terms: -23 + 1 = -22
1 + -2x + x2 = -22

Factor a perfect square on the left side:
(x + -1)(x + -1) = -22

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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