4.9*t^2+-18*t+20=0

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Solution for 4.9*t^2+-18*t+20=0 equation:


Simplifying
4.9t2 + -18t + 20 = 0

Reorder the terms:
20 + -18t + 4.9t2 = 0

Solving
20 + -18t + 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'.
4.081632653 + -3.673469388t + t2 = 0

Move the constant term to the right:

Add '-4.081632653' to each side of the equation.
4.081632653 + -3.673469388t + -4.081632653 + t2 = 0 + -4.081632653

Reorder the terms:
4.081632653 + -4.081632653 + -3.673469388t + t2 = 0 + -4.081632653

Combine like terms: 4.081632653 + -4.081632653 = 0.000000000
0.000000000 + -3.673469388t + t2 = 0 + -4.081632653
-3.673469388t + t2 = 0 + -4.081632653

Combine like terms: 0 + -4.081632653 = -4.081632653
-3.673469388t + t2 = -4.081632653

The t term is -3.673469388t.  Take half its coefficient (-1.836734694).
Square it (3.373594336) and add it to both sides.

Add '3.373594336' to each side of the equation.
-3.673469388t + 3.373594336 + t2 = -4.081632653 + 3.373594336

Reorder the terms:
3.373594336 + -3.673469388t + t2 = -4.081632653 + 3.373594336

Combine like terms: -4.081632653 + 3.373594336 = -0.708038317
3.373594336 + -3.673469388t + t2 = -0.708038317

Factor a perfect square on the left side:
(t + -1.836734694)(t + -1.836734694) = -0.708038317

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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