x^2-x+61=0

Solution for x^2-x+61=0 equation:

Simplifying
x2 + -1x + 61 = 0

Reorder the terms:
61 + -1x + x2 = 0

Solving
61 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + -1x + -61 + x2 = 0 + -61

Reorder the terms:
61 + -61 + -1x + x2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -1x + x2 = 0 + -61
-1x + x2 = 0 + -61

Combine like terms: 0 + -61 = -61
-1x + x2 = -61

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -61 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -61 + 0.25

Combine like terms: -61 + 0.25 = -60.75
0.25 + -1x + x2 = -60.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -60.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.