t^2-t+13=0

Solution for t^2-t+13=0 equation:

Simplifying
t2 + -1t + 13 = 0

Reorder the terms:
13 + -1t + t2 = 0

Solving
13 + -1t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -1t + -13 + t2 = 0 + -13

Reorder the terms:
13 + -13 + -1t + t2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1t + t2 = 0 + -13
-1t + t2 = 0 + -13

Combine like terms: 0 + -13 = -13
-1t + t2 = -13

The t term is -1t.  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.
-1t + 0.25 + t2 = -13 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -13 + 0.25

Combine like terms: -13 + 0.25 = -12.75
0.25 + -1t + t2 = -12.75

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.