n^2-9n+220=0

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Solution for n^2-9n+220=0 equation:


Simplifying
n2 + -9n + 220 = 0

Reorder the terms:
220 + -9n + n2 = 0

Solving
220 + -9n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-220' to each side of the equation.
220 + -9n + -220 + n2 = 0 + -220

Reorder the terms:
220 + -220 + -9n + n2 = 0 + -220

Combine like terms: 220 + -220 = 0
0 + -9n + n2 = 0 + -220
-9n + n2 = 0 + -220

Combine like terms: 0 + -220 = -220
-9n + n2 = -220

The n term is -9n.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9n + 20.25 + n2 = -220 + 20.25

Reorder the terms:
20.25 + -9n + n2 = -220 + 20.25

Combine like terms: -220 + 20.25 = -199.75
20.25 + -9n + n2 = -199.75

Factor a perfect square on the left side:
(n + -4.5)(n + -4.5) = -199.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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