# 11x^2-2x+9=0

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## Solution for 11x^2-2x+9=0 equation:

Simplifying
11x2 + -2x + 9 = 0

Reorder the terms:
9 + -2x + 11x2 = 0

Solving
9 + -2x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
0.8181818182 + -0.1818181818x + x2 = 0

Move the constant term to the right:

Add '-0.8181818182' to each side of the equation.
0.8181818182 + -0.1818181818x + -0.8181818182 + x2 = 0 + -0.8181818182

Reorder the terms:
0.8181818182 + -0.8181818182 + -0.1818181818x + x2 = 0 + -0.8181818182

Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000
0.0000000000 + -0.1818181818x + x2 = 0 + -0.8181818182
-0.1818181818x + x2 = 0 + -0.8181818182

Combine like terms: 0 + -0.8181818182 = -0.8181818182
-0.1818181818x + x2 = -0.8181818182

The x term is -0.1818181818x.  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.
-0.1818181818x + 0.008264462808 + x2 = -0.8181818182 + 0.008264462808

Reorder the terms:
0.008264462808 + -0.1818181818x + x2 = -0.8181818182 + 0.008264462808

Combine like terms: -0.8181818182 + 0.008264462808 = -0.809917355392
0.008264462808 + -0.1818181818x + x2 = -0.809917355392

Factor a perfect square on the left side:
(x + -0.0909090909)(x + -0.0909090909) = -0.809917355392

Can't calculate square root of the right side.

The solution to this equation could not be determined.`