x^2-2x+84=0

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Solution for x^2-2x+84=0 equation:


Simplifying
x2 + -2x + 84 = 0

Reorder the terms:
84 + -2x + x2 = 0

Solving
84 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + -2x + -84 + x2 = 0 + -84

Reorder the terms:
84 + -84 + -2x + x2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -2x + x2 = 0 + -84
-2x + x2 = 0 + -84

Combine like terms: 0 + -84 = -84
-2x + x2 = -84

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 = -84 + 1

Reorder the terms:
1 + -2x + x2 = -84 + 1

Combine like terms: -84 + 1 = -83
1 + -2x + x2 = -83

Factor a perfect square on the left side:
(x + -1)(x + -1) = -83

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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