x^2-2x+65=0

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Solution for x^2-2x+65=0 equation:


Simplifying
x2 + -2x + 65 = 0

Reorder the terms:
65 + -2x + x2 = 0

Solving
65 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-65' to each side of the equation.
65 + -2x + -65 + x2 = 0 + -65

Reorder the terms:
65 + -65 + -2x + x2 = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -2x + x2 = 0 + -65
-2x + x2 = 0 + -65

Combine like terms: 0 + -65 = -65
-2x + x2 = -65

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 = -65 + 1

Reorder the terms:
1 + -2x + x2 = -65 + 1

Combine like terms: -65 + 1 = -64
1 + -2x + x2 = -64

Factor a perfect square on the left side:
(x + -1)(x + -1) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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