9x^2-13x+25=0

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Solution for 9x^2-13x+25=0 equation:


Simplifying
9x2 + -13x + 25 = 0

Reorder the terms:
25 + -13x + 9x2 = 0

Solving
25 + -13x + 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'.
2.777777778 + -1.444444444x + x2 = 0

Move the constant term to the right:

Add '-2.777777778' to each side of the equation.
2.777777778 + -1.444444444x + -2.777777778 + x2 = 0 + -2.777777778

Reorder the terms:
2.777777778 + -2.777777778 + -1.444444444x + x2 = 0 + -2.777777778

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
0.000000000 + -1.444444444x + x2 = 0 + -2.777777778
-1.444444444x + x2 = 0 + -2.777777778

Combine like terms: 0 + -2.777777778 = -2.777777778
-1.444444444x + x2 = -2.777777778

The x term is -1.444444444x.  Take half its coefficient (-0.722222222).
Square it (0.5216049380) and add it to both sides.

Add '0.5216049380' to each side of the equation.
-1.444444444x + 0.5216049380 + x2 = -2.777777778 + 0.5216049380

Reorder the terms:
0.5216049380 + -1.444444444x + x2 = -2.777777778 + 0.5216049380

Combine like terms: -2.777777778 + 0.5216049380 = -2.25617284
0.5216049380 + -1.444444444x + x2 = -2.25617284

Factor a perfect square on the left side:
(x + -0.722222222)(x + -0.722222222) = -2.25617284

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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