SOLUTION: Looking at {{{f(x)=-0.2x^2+12x+11}}} Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days af

Question 130296: Looking at

Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The last day of ticket sales will correspond to the rightmost zero. So we need to find the zeros

Start with the given equation

Set y equal to zero

Multiply both sides by 10 to get rid of the decimal number

Distribute and multiply

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=-2, b=120, and c=110

Square 120 to get 14400

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 -2 to get -4

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So these expressions approximate to

or

So our solutions are:
or

So the last day of ticket sales will be on the 60th day
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