2x^2-34x+289=0

Solution for 2x^2-34x+289=0 equation:

Simplifying
2x2 + -34x + 289 = 0

Reorder the terms:
289 + -34x + 2x2 = 0

Solving
289 + -34x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
144.5 + -17x + x2 = 0

Move the constant term to the right:

Add '-144.5' to each side of the equation.
144.5 + -17x + -144.5 + x2 = 0 + -144.5

Reorder the terms:
144.5 + -144.5 + -17x + x2 = 0 + -144.5

Combine like terms: 144.5 + -144.5 = 0.0
0.0 + -17x + x2 = 0 + -144.5
-17x + x2 = 0 + -144.5

Combine like terms: 0 + -144.5 = -144.5
-17x + x2 = -144.5

The x term is -17x.  Take half its coefficient (-8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
-17x + 72.25 + x2 = -144.5 + 72.25

Reorder the terms:
72.25 + -17x + x2 = -144.5 + 72.25

Combine like terms: -144.5 + 72.25 = -72.25
72.25 + -17x + x2 = -72.25

Factor a perfect square on the left side:
(x + -8.5)(x + -8.5) = -72.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.