t^2-3t+4.5=0

Solution for t^2-3t+4.5=0 equation:

Simplifying
t2 + -3t + 4.5 = 0

Reorder the terms:
4.5 + -3t + t2 = 0

Solving
4.5 + -3t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -3t + -4.5 + t2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -3t + t2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -3t + t2 = 0 + -4.5
-3t + t2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-3t + t2 = -4.5

The t term is -3t.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3t + 2.25 + t2 = -4.5 + 2.25

Reorder the terms:
2.25 + -3t + t2 = -4.5 + 2.25

Combine like terms: -4.5 + 2.25 = -2.25
2.25 + -3t + t2 = -2.25

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.