2019 CIME I Problems/Problem 13

Suppose $\text{P}$ is a monic polynomial whose roots $a$ , $b$ , and $c$ are real numbers, at least two of which are positive, that satisfy the relation $a(a-b)=b(b-c)=c(c-a)=1.$ Find the greatest integer less than or equal to $100|P(\sqrt{3})|$ .

Solution

We don't know yet.

2019 CIME I (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
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2019 CIME I Problems/Problem 13

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