Write as a Function of h h=-16t^2+36t+9

Math
Rewrite the equation as .
Move to the left side of the equation by subtracting it from both sides.
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
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Simplify the numerator.
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Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Add and .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Tap for more steps…
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Raise to the power of .
Multiply by .
Simplify .
Simplify the expression to solve for the portion of the .
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Add and .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Tap for more steps…
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Raise to the power of .
Multiply by .
Simplify .
Change the to .
Simplify the expression to solve for the portion of the .
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Add and .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Tap for more steps…
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Raise to the power of .
Multiply by .
Simplify .
Change the to .
The final answer is the combination of both solutions.
Write as a Function of h h=-16t^2+36t+9


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