11n^2-2n+11=10

Solution for 11n^2-2n+11=10 equation:

Simplifying
11n2 + -2n + 11 = 10

Reorder the terms:
11 + -2n + 11n2 = 10

Solving
11 + -2n + 11n2 = 10

Solving for variable 'n'.

Reorder the terms:
11 + -10 + -2n + 11n2 = 10 + -10

Combine like terms: 11 + -10 = 1
1 + -2n + 11n2 = 10 + -10

Combine like terms: 10 + -10 = 0
1 + -2n + 11n2 = 0

Begin completing the square.  Divide all terms by
11 the coefficient of the squared term: 

Divide each side by '11'.
0.09090909091 + -0.1818181818n + n2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + -0.1818181818n + -0.09090909091 + n2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + -0.1818181818n + n2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + -0.1818181818n + n2 = 0 + -0.09090909091
-0.1818181818n + n2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
-0.1818181818n + n2 = -0.09090909091

The n term is -0.1818181818n.  Take half its coefficient (-0.0909090909).
Square it (0.008264462808) and add it to both sides.

Add '0.008264462808' to each side of the equation.
-0.1818181818n + 0.008264462808 + n2 = -0.09090909091 + 0.008264462808

Reorder the terms:
0.008264462808 + -0.1818181818n + n2 = -0.09090909091 + 0.008264462808

Combine like terms: -0.09090909091 + 0.008264462808 = -0.082644628102
0.008264462808 + -0.1818181818n + n2 = -0.082644628102

Factor a perfect square on the left side:
(n + -0.0909090909)(n + -0.0909090909) = -0.082644628102

Can't calculate square root of the right side.

The solution to this equation could not be determined.