# Solve for t 3.3=-16t^2+73.3+5.5

3.3=-16t2+73.3+5.5
Rewrite the equation as -16t2+73.3+5.5=3.3.
-16t2+73.3+5.5=3.3
-16t2+78.8=3.3
Move all terms not containing t to the right side of the equation.
Subtract 78.8 from both sides of the equation.
-16t2=3.3-78.8
Subtract 78.8 from 3.3.
-16t2=-75.5
-16t2=-75.5
Divide each term by -16 and simplify.
Divide each term in -16t2=-75.5 by -16.
-16t2-16=-75.5-16
Cancel the common factor of -16.
Cancel the common factor.
-16t2-16=-75.5-16
Divide t2 by 1.
t2=-75.5-16
t2=-75.5-16
Divide -75.5 by -16.
t2=4.71875
t2=4.71875
Take the square root of both sides of the equation to eliminate the exponent on the left side.
t=±4.71875
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
t=4.71875
Next, use the negative value of the ± to find the second solution.
t=-4.71875
The complete solution is the result of both the positive and negative portions of the solution.
t=4.71875,-4.71875
t=4.71875,-4.71875
The result can be shown in multiple forms.
Exact Form:
t=4.71875,-4.71875
Decimal Form:
t=2.17226839…,-2.17226839…
Solve for t 3.3=-16t^2+73.3+5.5

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