34+11t+4.9t^2=0

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Solution for 34+11t+4.9t^2=0 equation:


Simplifying
34 + 11t + 4.9t2 = 0

Solving
34 + 11t + 4.9t2 = 0

Solving for variable 't'.

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

Divide each side by '4.9'.
6.93877551 + 2.244897959t + t2 = 0

Move the constant term to the right:

Add '-6.93877551' to each side of the equation.
6.93877551 + 2.244897959t + -6.93877551 + t2 = 0 + -6.93877551

Reorder the terms:
6.93877551 + -6.93877551 + 2.244897959t + t2 = 0 + -6.93877551

Combine like terms: 6.93877551 + -6.93877551 = 0.00000000
0.00000000 + 2.244897959t + t2 = 0 + -6.93877551
2.244897959t + t2 = 0 + -6.93877551

Combine like terms: 0 + -6.93877551 = -6.93877551
2.244897959t + t2 = -6.93877551

The t term is 2.244897959t.  Take half its coefficient (1.12244898).
Square it (1.259891713) and add it to both sides.

Add '1.259891713' to each side of the equation.
2.244897959t + 1.259891713 + t2 = -6.93877551 + 1.259891713

Reorder the terms:
1.259891713 + 2.244897959t + t2 = -6.93877551 + 1.259891713

Combine like terms: -6.93877551 + 1.259891713 = -5.678883797
1.259891713 + 2.244897959t + t2 = -5.678883797

Factor a perfect square on the left side:
(t + 1.12244898)(t + 1.12244898) = -5.678883797

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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