x^2-13x+51=0

Solution for x^2-13x+51=0 equation:

Simplifying
x2 + -13x + 51 = 0

Reorder the terms:
51 + -13x + x2 = 0

Solving
51 + -13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-51' to each side of the equation.
51 + -13x + -51 + x2 = 0 + -51

Reorder the terms:
51 + -51 + -13x + x2 = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -13x + x2 = 0 + -51
-13x + x2 = 0 + -51

Combine like terms: 0 + -51 = -51
-13x + x2 = -51

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = -51 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -51 + 42.25

Combine like terms: -51 + 42.25 = -8.75
42.25 + -13x + x2 = -8.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.