Recent content by rattam

  1. R

    Solving x⁴ + y⁴ - z⁴ + 4z² - 2 = 0 with constraint xy = 1

    Homework Statement I am a Turkish student bogged down by a very difficult question (at least for me). Here's the question: Given that xy= 1, find all solutions for X4 + y4 - z4 + 4z2 - 2 = 0. I've spent many hours on this equation. It even prevents me from sleep. I would...