Intersect of two curves

**Beard** · January 20th 2010, 12:34 PM

I really should know better but because a) I have no textbook and b) the internet was unyielding to my searches I have come to ask my question here which I really should know but it evades me.

How do I find the points of intersect of the curves $x^3$ and $x^{-3}$ ?

P.S I don't have a clue where to start either

Any help is greatly appreciated

**Archie Meade** · January 20th 2010, 12:38 PM

$x^3=\frac{1}{x^3}$

$x^3x^3=\frac{x^3}{x^3}=1$

$x^{3+3}=x^6=1$

$x=\pm1$

**Beard** · January 20th 2010, 12:40 PM

Thankyou

I feel EXTREMELY dumb but then again I have been doing a lot of revision for more important subjects than maths and my brain is a sludge atm. Not going to have fun in the test tomorrow

**Archie Meade** · January 20th 2010, 12:43 PM

Don't feel that way, Beard,
mental tiredness causes that,
happens to me at 2am every night.

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