x^2-2x+55=0

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Solution for x^2-2x+55=0 equation:


Simplifying
x2 + -2x + 55 = 0

Reorder the terms:
55 + -2x + x2 = 0

Solving
55 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -2x + -55 + x2 = 0 + -55

Reorder the terms:
55 + -55 + -2x + x2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -2x + x2 = 0 + -55
-2x + x2 = 0 + -55

Combine like terms: 0 + -55 = -55
-2x + x2 = -55

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 = -55 + 1

Reorder the terms:
1 + -2x + x2 = -55 + 1

Combine like terms: -55 + 1 = -54
1 + -2x + x2 = -54

Factor a perfect square on the left side:
(x + -1)(x + -1) = -54

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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