SOLUTION: 16t^2= 24t + 15 Solve for t

Question 292942: 16t^2= 24t + 15 Solve for t
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Get everything to one side.

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for t:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=16, b=-24, and c=-15

Negate -24 to get 24

Square -24 to get 576 (note: remember when you square -24, you must square the negative as well. This is because .)

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 16 to get 32

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

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