n^2-n+90=0

Solution for n^2-n+90=0 equation:

Simplifying
n2 + -1n + 90 = 0

Reorder the terms:
90 + -1n + n2 = 0

Solving
90 + -1n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-90' to each side of the equation.
90 + -1n + -90 + n2 = 0 + -90

Reorder the terms:
90 + -90 + -1n + n2 = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1n + n2 = 0 + -90
-1n + n2 = 0 + -90

Combine like terms: 0 + -90 = -90
-1n + n2 = -90

The n term is -1n.  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.
-1n + 0.25 + n2 = -90 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -90 + 0.25

Combine like terms: -90 + 0.25 = -89.75
0.25 + -1n + n2 = -89.75

Factor a perfect square on the left side:
(n + -0.5)(n + -0.5) = -89.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.