9x^2-18x+13=0

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Solution for 9x^2-18x+13=0 equation:


Simplifying
9x2 + -18x + 13 = 0

Reorder the terms:
13 + -18x + 9x2 = 0

Solving
13 + -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'.
1.444444444 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.444444444' to each side of the equation.
1.444444444 + -2x + -1.444444444 + x2 = 0 + -1.444444444

Reorder the terms:
1.444444444 + -1.444444444 + -2x + x2 = 0 + -1.444444444

Combine like terms: 1.444444444 + -1.444444444 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.444444444
-2x + x2 = 0 + -1.444444444

Combine like terms: 0 + -1.444444444 = -1.444444444
-2x + x2 = -1.444444444

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 = -1.444444444 + 1

Reorder the terms:
1 + -2x + x2 = -1.444444444 + 1

Combine like terms: -1.444444444 + 1 = -0.444444444
1 + -2x + x2 = -0.444444444

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.444444444

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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