X^2-13X+144=0

Solution for X^2-13X+144=0 equation:

Simplifying
X2 + -13X + 144 = 0

Reorder the terms:
144 + -13X + X2 = 0

Solving
144 + -13X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -13X + -144 + X2 = 0 + -144

Reorder the terms:
144 + -144 + -13X + X2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -13X + X2 = 0 + -144
-13X + X2 = 0 + -144

Combine like terms: 0 + -144 = -144
-13X + X2 = -144

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 = -144 + 42.25

Reorder the terms:
42.25 + -13X + X2 = -144 + 42.25

Combine like terms: -144 + 42.25 = -101.75
42.25 + -13X + X2 = -101.75

Factor a perfect square on the left side:
(X + -6.5)(X + -6.5) = -101.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.