Intersect of two curves

• January 20th 2010, 12:34 PM
Beard
Intersect of two curves
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
• January 20th 2010, 12:38 PM
$x^3=\frac{1}{x^3}$

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

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

$x=\pm1$
• January 20th 2010, 12:40 PM
Beard
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 :(
• January 20th 2010, 12:43 PM