x^2-13x+784=0

Solution for x^2-13x+784=0 equation:

Simplifying
x2 + -13x + 784 = 0

Reorder the terms:
784 + -13x + x2 = 0

Solving
784 + -13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-784' to each side of the equation.
784 + -13x + -784 + x2 = 0 + -784

Reorder the terms:
784 + -784 + -13x + x2 = 0 + -784

Combine like terms: 784 + -784 = 0
0 + -13x + x2 = 0 + -784
-13x + x2 = 0 + -784

Combine like terms: 0 + -784 = -784
-13x + x2 = -784

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 = -784 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -784 + 42.25

Combine like terms: -784 + 42.25 = -741.75
42.25 + -13x + x2 = -741.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -741.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.