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Problem of the Day #30: Area of a Triangle on a Cubic Function April 18, 2011

Posted by Alex in : potd , trackback

Find the maximum area of $\triangle{}ABC$ given that $A$, $B$, and $C$ are lattice points $(x, y)$ on the function $y=x^3$ and no two points have $x$-coordinates differing by more than $11$. Express the answer using integers, the four basic operations, exponentiations, and square roots.


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