122.38=49t-4.905t^2

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Solution for 122.38=49t-4.905t^2 equation: 


Simplifying
122.38 = 49t + -4.905t2

Solving
122.38 = 49t + -4.905t2

Solving for variable 't'.

Reorder the terms:
122.38 + -49t + 4.905t2 = 49t + -49t + -4.905t2 + 4.905t2

Combine like terms: 49t + -49t = 0
122.38 + -49t + 4.905t2 = 0 + -4.905t2 + 4.905t2
122.38 + -49t + 4.905t2 = -4.905t2 + 4.905t2

Combine like terms: -4.905t2 + 4.905t2 = 0.000
122.38 + -49t + 4.905t2 = 0.000

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

Divide each side by '4.905'.
24.95005097 + -9.98980632t + t2 = 0

Move the constant term to the right:

Add '-24.95005097' to each side of the equation.
24.95005097 + -9.98980632t + -24.95005097 + t2 = 0 + -24.95005097

Reorder the terms:
24.95005097 + -24.95005097 + -9.98980632t + t2 = 0 + -24.95005097

Combine like terms: 24.95005097 + -24.95005097 = 0.00000000
0.00000000 + -9.98980632t + t2 = 0 + -24.95005097
-9.98980632t + t2 = 0 + -24.95005097

Combine like terms: 0 + -24.95005097 = -24.95005097
-9.98980632t + t2 = -24.95005097

The t term is -9.98980632t.  Take half its coefficient (-4.99490316).
Square it (24.94905758) and add it to both sides.

Add '24.94905758' to each side of the equation.
-9.98980632t + 24.94905758 + t2 = -24.95005097 + 24.94905758

Reorder the terms:
24.94905758 + -9.98980632t + t2 = -24.95005097 + 24.94905758

Combine like terms: -24.95005097 + 24.94905758 = -0.00099339
24.94905758 + -9.98980632t + t2 = -0.00099339

Factor a perfect square on the left side:
(t + -4.99490316)(t + -4.99490316) = -0.00099339

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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