0.5t^2-0.5t+9=0

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Solution for 0.5t^2-0.5t+9=0 equation:


Simplifying
0.5t2 + -0.5t + 9 = 0

Reorder the terms:
9 + -0.5t + 0.5t2 = 0

Solving
9 + -0.5t + 0.5t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
0.5 the coefficient of the squared term: 

Divide each side by '0.5'.
18 + -1t + t2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -1t + -18 + t2 = 0 + -18

Reorder the terms:
18 + -18 + -1t + t2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1t + t2 = 0 + -18
-1t + t2 = 0 + -18

Combine like terms: 0 + -18 = -18
-1t + t2 = -18

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 = -18 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -18 + 0.25

Combine like terms: -18 + 0.25 = -17.75
0.25 + -1t + t2 = -17.75

Factor a perfect square on the left side:
(t + -0.5)(t + -0.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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