x^2-2x+121=0

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Solution for x^2-2x+121=0 equation:


Simplifying
x2 + -2x + 121 = 0

Reorder the terms:
121 + -2x + x2 = 0

Solving
121 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + -2x + -121 + x2 = 0 + -121

Reorder the terms:
121 + -121 + -2x + x2 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -2x + x2 = 0 + -121
-2x + x2 = 0 + -121

Combine like terms: 0 + -121 = -121
-2x + x2 = -121

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 = -121 + 1

Reorder the terms:
1 + -2x + x2 = -121 + 1

Combine like terms: -121 + 1 = -120
1 + -2x + x2 = -120

Factor a perfect square on the left side:
(x + -1)(x + -1) = -120

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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