2x^2-13x+81=0

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Solution for 2x^2-13x+81=0 equation:


Simplifying
2x2 + -13x + 81 = 0

Reorder the terms:
81 + -13x + 2x2 = 0

Solving
81 + -13x + 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'.
40.5 + -6.5x + x2 = 0

Move the constant term to the right:

Add '-40.5' to each side of the equation.
40.5 + -6.5x + -40.5 + x2 = 0 + -40.5

Reorder the terms:
40.5 + -40.5 + -6.5x + x2 = 0 + -40.5

Combine like terms: 40.5 + -40.5 = 0.0
0.0 + -6.5x + x2 = 0 + -40.5
-6.5x + x2 = 0 + -40.5

Combine like terms: 0 + -40.5 = -40.5
-6.5x + x2 = -40.5

The x term is -6.5x.  Take half its coefficient (-3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
-6.5x + 10.5625 + x2 = -40.5 + 10.5625

Reorder the terms:
10.5625 + -6.5x + x2 = -40.5 + 10.5625

Combine like terms: -40.5 + 10.5625 = -29.9375
10.5625 + -6.5x + x2 = -29.9375

Factor a perfect square on the left side:
(x + -3.25)(x + -3.25) = -29.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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