
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 $\displaystyle x^3$ and $\displaystyle x^{3}$?
P.S I don't have a clue where to start either
Any help is greatly appreciated

$\displaystyle x^3=\frac{1}{x^3}$
$\displaystyle x^3x^3=\frac{x^3}{x^3}=1$
$\displaystyle x^{3+3}=x^6=1$
$\displaystyle x=\pm1$

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 :(

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