Problem of the Day #25 (Challenge)

POTD Challenge December 14, 2023
Author: awesomeming327

Let a,b,c∈Ra, b, c \in \mathbb{R} such that a2+b=b2+c=c2+a=2023a^2+b = b^2+c = c^2+a = 2023. Find the number of possible values of (a+b)(b+c)(c+a)(a+b)(b+c)(c+a).

Show/Hide Hints

Show/Hide Problem Tags

Problem Tags: Algebra
Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Category: Problem of the Day
Points: 5
Back to practice