t^2-t+21=0

Solution for t^2-t+21=0 equation:

Simplifying
t2 + -1t + 21 = 0

Reorder the terms:
21 + -1t + t2 = 0

Solving
21 + -1t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + -1t + -21 + t2 = 0 + -21

Reorder the terms:
21 + -21 + -1t + t2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1t + t2 = 0 + -21
-1t + t2 = 0 + -21

Combine like terms: 0 + -21 = -21
-1t + t2 = -21

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 = -21 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -21 + 0.25

Combine like terms: -21 + 0.25 = -20.75
0.25 + -1t + t2 = -20.75

Factor a perfect square on the left side:
(t + -0.5)(t + -0.5) = -20.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.