0.5t^2-31t+500=0

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Solution for 0.5t^2-31t+500=0 equation:


Simplifying
0.5t2 + -31t + 500 = 0

Reorder the terms:
500 + -31t + 0.5t2 = 0

Solving
500 + -31t + 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'.
1000 + -62t + t2 = 0

Move the constant term to the right:

Add '-1000' to each side of the equation.
1000 + -62t + -1000 + t2 = 0 + -1000

Reorder the terms:
1000 + -1000 + -62t + t2 = 0 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -62t + t2 = 0 + -1000
-62t + t2 = 0 + -1000

Combine like terms: 0 + -1000 = -1000
-62t + t2 = -1000

The t term is -62t.  Take half its coefficient (-31).
Square it (961) and add it to both sides.

Add '961' to each side of the equation.
-62t + 961 + t2 = -1000 + 961

Reorder the terms:
961 + -62t + t2 = -1000 + 961

Combine like terms: -1000 + 961 = -39
961 + -62t + t2 = -39

Factor a perfect square on the left side:
(t + -31)(t + -31) = -39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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