a^2-a+13=

Solution for a^2-a+13= equation:

Simplifying
a2 + -1a + 13 = 0

Reorder the terms:
13 + -1a + a2 = 0

Solving
13 + -1a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -1a + -13 + a2 = 0 + -13

Reorder the terms:
13 + -13 + -1a + a2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1a + a2 = 0 + -13
-1a + a2 = 0 + -13

Combine like terms: 0 + -13 = -13
-1a + a2 = -13

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -13 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -13 + 0.25

Combine like terms: -13 + 0.25 = -12.75
0.25 + -1a + a2 = -12.75

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -12.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.