Problem Database
Home
Add Problem
Search
Compare
Rankings
Tag Untagged
Edit Problem
Problem Description
Let \(S\) be the set of positive integers \(k\) such that the two parabolas$$y=x^2-k~~\text{and}~~x=2(y-20)^2-k$$intersect in four distinct points, and these four points lie on a circle with radius at most \(21\). Find the sum of the least element of \(S\) and the greatest element of \(S\).
Diagram (TikZ Code)
Solution
285
Tags
Difficulty
Source
Save Changes