9x^2-14x+41=0

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Solution for 9x^2-14x+41=0 equation:


Simplifying
9x2 + -14x + 41 = 0

Reorder the terms:
41 + -14x + 9x2 = 0

Solving
41 + -14x + 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'.
4.555555556 + -1.555555556x + x2 = 0

Move the constant term to the right:

Add '-4.555555556' to each side of the equation.
4.555555556 + -1.555555556x + -4.555555556 + x2 = 0 + -4.555555556

Reorder the terms:
4.555555556 + -4.555555556 + -1.555555556x + x2 = 0 + -4.555555556

Combine like terms: 4.555555556 + -4.555555556 = 0.000000000
0.000000000 + -1.555555556x + x2 = 0 + -4.555555556
-1.555555556x + x2 = 0 + -4.555555556

Combine like terms: 0 + -4.555555556 = -4.555555556
-1.555555556x + x2 = -4.555555556

The x term is -1.555555556x.  Take half its coefficient (-0.777777778).
Square it (0.6049382720) and add it to both sides.

Add '0.6049382720' to each side of the equation.
-1.555555556x + 0.6049382720 + x2 = -4.555555556 + 0.6049382720

Reorder the terms:
0.6049382720 + -1.555555556x + x2 = -4.555555556 + 0.6049382720

Combine like terms: -4.555555556 + 0.6049382720 = -3.950617284
0.6049382720 + -1.555555556x + x2 = -3.950617284

Factor a perfect square on the left side:
(x + -0.777777778)(x + -0.777777778) = -3.950617284

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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