SOLUTION: If the cost,in dollars, of a box of my favorite cereal is the same as the number of different values of x which satisfy ( x square minus nine ) to the power of three equal to ze

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Question 200591: If the cost,in dollars, of a box of my favorite cereal is the same as the number of different values of x which satisfy ( x square minus nine ) to the power of three equal to zero, then a box of this cereal costs how much ?
Found 3 solutions by rfer, Alan3354, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x^6-729=0
x=$2.08

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the cost,in dollars, of a box of my favorite cereal is the same as the number of different values of x which satisfy ( x square minus nine ) to the power of three equal to zero, then a box of this cereal costs how much ?
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(x^2 - 9)^3 = 0
x^2 - 9 = 0
x = $3

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Since %28x%5E2-9%29%5E3=0, then there will be 3 SAME equations that equal 0

And so, just one of these 3 equations should be evaluated to find the different values of x

Now, since x%5E2-9=0 gives us x-values of + 3 or - 3, which are 2 VALUES, then the cost of the box of cereal is $2.