Solve F(x,y) = 0 for y = 1: Solve Equation

[Max0007]

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

 

[Dick]

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

It's just fine to solve that equation with y=1. Can you solve it?

 

[Max0007]

It's just fine to solve that equation with y=1. Can you solve it?

This is what I go S = {-2,-1,1}

is this correct?

 

[Dick]

This is what I go S = {-2,-1,1}

is this correct?

Looks fine to me.

 

[Brian T]

You might also have to include the imaginary answers. Depending on your class/instructor