SOLUTION: Determine the values of x for which the following expression will be undefined (i.e., the result is division by zero) 5/3x^2-75

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Question 274543: Determine the values of x for which the following expression will be undefined (i.e., the result is division by zero)
5/3x^2-75
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the equation is y = 5%2F%283x%5E2-75%29

3x%5E2+-+75 is the same as 3%2A%28x%5E2-25%29 is the same as 3%2A%28x-5%29%2A%28x%2B5%29

your equation becomes:

y = 5%2F%283%2A%28x-5%29%2A%28x%2B5%29%29

the denominator will be equal to 0 when x = 5 or x = -5.

your equation will be undefined at those values for x.

the graph of your equation looks like this:

graph%28600%2C600%2C-8%2C8%2C-5%2C5%2C5%2F%283x%5E2-75%29%29