n^2-2n+99=0

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


Simplifying
n2 + -2n + 99 = 0

Reorder the terms:
99 + -2n + n2 = 0

Solving
99 + -2n + 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 + -2n + -99 + n2 = 0 + -99

Reorder the terms:
99 + -99 + -2n + n2 = 0 + -99

Combine like terms: 99 + -99 = 0
0 + -2n + n2 = 0 + -99
-2n + n2 = 0 + -99

Combine like terms: 0 + -99 = -99
-2n + n2 = -99

The n term is -2n.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2n + 1 + n2 = -99 + 1

Reorder the terms:
1 + -2n + n2 = -99 + 1

Combine like terms: -99 + 1 = -98
1 + -2n + n2 = -98

Factor a perfect square on the left side:
(n + -1)(n + -1) = -98

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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