x^2-x+4.25=0

Solution for x^2-x+4.25=0 equation:

Simplifying
x2 + -1x + 4.25 = 0

Reorder the terms:
4.25 + -1x + x2 = 0

Solving
4.25 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -1x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + -1x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -1x + x2 = 0 + -4.25
-1x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
-1x + x2 = -4.25

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 = -4.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4.25 + 0.25

Combine like terms: -4.25 + 0.25 = -4
0.25 + -1x + x2 = -4

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.