From charlesreid1

Problem 9 on Project Euler: https://projecteuler.net/problem=9

In this problem, you are asked to find three Pythagorean triples with a specified sum.

This is equivalent to solving a quadratic equation (the Pythagorean theorem) and a linear equation (sum of three variables is a constant).

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle a + b + c - 1000 = 0 }

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle a^2 + b^2 - c^2 = 0 }

This can be visualized as the intersection of a plane and a cone.