n^2-n+99=0

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Solution for n^2-n+99=0 equation:


Simplifying
n2 + -1n + 99 = 0

Reorder the terms:
99 + -1n + n2 = 0

Solving
99 + -1n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-99' to each side of the equation.
99 + -1n + -99 + n2 = 0 + -99

Reorder the terms:
99 + -99 + -1n + n2 = 0 + -99

Combine like terms: 99 + -99 = 0
0 + -1n + n2 = 0 + -99
-1n + n2 = 0 + -99

Combine like terms: 0 + -99 = -99
-1n + n2 = -99

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 = -99 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -99 + 0.25

Combine like terms: -99 + 0.25 = -98.75
0.25 + -1n + n2 = -98.75

Factor a perfect square on the left side:
(n + -0.5)(n + -0.5) = -98.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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