4.9t^2-8t+38=0

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Solution for 4.9t^2-8t+38=0 equation:


Simplifying
4.9t2 + -8t + 38 = 0

Reorder the terms:
38 + -8t + 4.9t2 = 0

Solving
38 + -8t + 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'.
7.755102041 + -1.632653061t + t2 = 0

Move the constant term to the right:

Add '-7.755102041' to each side of the equation.
7.755102041 + -1.632653061t + -7.755102041 + t2 = 0 + -7.755102041

Reorder the terms:
7.755102041 + -7.755102041 + -1.632653061t + t2 = 0 + -7.755102041

Combine like terms: 7.755102041 + -7.755102041 = 0.000000000
0.000000000 + -1.632653061t + t2 = 0 + -7.755102041
-1.632653061t + t2 = 0 + -7.755102041

Combine like terms: 0 + -7.755102041 = -7.755102041
-1.632653061t + t2 = -7.755102041

The t term is -1.632653061t.  Take half its coefficient (-0.8163265305).
Square it (0.6663890044) and add it to both sides.

Add '0.6663890044' to each side of the equation.
-1.632653061t + 0.6663890044 + t2 = -7.755102041 + 0.6663890044

Reorder the terms:
0.6663890044 + -1.632653061t + t2 = -7.755102041 + 0.6663890044

Combine like terms: -7.755102041 + 0.6663890044 = -7.0887130366
0.6663890044 + -1.632653061t + t2 = -7.0887130366

Factor a perfect square on the left side:
(t + -0.8163265305)(t + -0.8163265305) = -7.0887130366

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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