SOLUTION: x^-75=0. Im having a hard time with this problem please help solve

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Question 517165: x^-75=0. Im having a hard time with this problem please help solve

Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
x^-75=0
---
(1/x)^75 = 0
(1/x) = 0
x is undefined
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Cheers,
Stan H.
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Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


I'm presuming you mean:



(Note: ^ does NOT mean "squared", it means "raised to the power of" the expression following the ^. If you meant as I suspect, then you needed to have written x^2 - 75 = 0)

This is nothing more than the difference of two squares. But 75 is not a perfect square, you complain. Well, yes it is, sort of. It is the perfect square of , right?

So re-write the equation:



Or better yet, recognize that and then write:



Then follow the conjugate factors of the difference of two squares pattern, i.e. , to factor your LHS:



And then just apply the Zero Product Rule.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


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