The discussion revolves around solving the factorized function F(x,y) = (x^2+y^2)(x+y)(x-y)(x+2y) for the case where y = 1. Participants are exploring how to approach the problem and what implications arise from substituting y into the equation.
Some participants have provided guidance on the appropriateness of substituting y = 1 directly into the equation. Multiple interpretations regarding the inclusion of imaginary solutions are being explored, indicating a productive dialogue without explicit consensus on the correctness of the identified solutions.
There is mention of varying expectations based on class or instructor requirements regarding the inclusion of imaginary solutions, which may affect how participants approach the problem.
Max0007 said:Homework Statement
Hello,
This factorized function F(x,y) = (x^2+y^2)(x+y)(x-y)(x+2y)
The question I need to answer is solve F(x,y) = 0 for y = 1
0 = (x^2+1^2)(x+1)(x-1)(x+2(1))
would it be this? or first I do f(x,y) = 0 then do it again with y = 1?
Homework Equations
0 = (x^2+1^2)(x+1)(x-1)(x+2(1))
The Attempt at a Solution
This is what I go S = {-2,-1,1}Dick said:It's just fine to solve that equation with y=1. Can you solve it?
Max0007 said:This is what I go S = {-2,-1,1}
is this correct?