17x^2-16x+9=0

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Solution for 17x^2-16x+9=0 equation:


Simplifying
17x2 + -16x + 9 = 0

Reorder the terms:
9 + -16x + 17x2 = 0

Solving
9 + -16x + 17x2 = 0

Solving for variable 'x'.

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

Divide each side by '17'.
0.5294117647 + -0.9411764706x + x2 = 0

Move the constant term to the right:

Add '-0.5294117647' to each side of the equation.
0.5294117647 + -0.9411764706x + -0.5294117647 + x2 = 0 + -0.5294117647

Reorder the terms:
0.5294117647 + -0.5294117647 + -0.9411764706x + x2 = 0 + -0.5294117647

Combine like terms: 0.5294117647 + -0.5294117647 = 0.0000000000
0.0000000000 + -0.9411764706x + x2 = 0 + -0.5294117647
-0.9411764706x + x2 = 0 + -0.5294117647

Combine like terms: 0 + -0.5294117647 = -0.5294117647
-0.9411764706x + x2 = -0.5294117647

The x term is -0.9411764706x.  Take half its coefficient (-0.4705882353).
Square it (0.2214532872) and add it to both sides.

Add '0.2214532872' to each side of the equation.
-0.9411764706x + 0.2214532872 + x2 = -0.5294117647 + 0.2214532872

Reorder the terms:
0.2214532872 + -0.9411764706x + x2 = -0.5294117647 + 0.2214532872

Combine like terms: -0.5294117647 + 0.2214532872 = -0.3079584775
0.2214532872 + -0.9411764706x + x2 = -0.3079584775

Factor a perfect square on the left side:
(x + -0.4705882353)(x + -0.4705882353) = -0.3079584775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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