9x^2-18x+11=0

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Solution for 9x^2-18x+11=0 equation:


Simplifying
9x2 + -18x + 11 = 0

Reorder the terms:
11 + -18x + 9x2 = 0

Solving
11 + -18x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
1.222222222 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.222222222' to each side of the equation.
1.222222222 + -2x + -1.222222222 + x2 = 0 + -1.222222222

Reorder the terms:
1.222222222 + -1.222222222 + -2x + x2 = 0 + -1.222222222

Combine like terms: 1.222222222 + -1.222222222 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.222222222
-2x + x2 = 0 + -1.222222222

Combine like terms: 0 + -1.222222222 = -1.222222222
-2x + x2 = -1.222222222

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

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.222222222 + 1

Reorder the terms:
1 + -2x + x2 = -1.222222222 + 1

Combine like terms: -1.222222222 + 1 = -0.222222222
1 + -2x + x2 = -0.222222222

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.222222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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