# Thread: Curve of Intersection help

1. ## Curve of Intersection help

Hey, my math teacher assigned us this problem:

Find Curve of Intersection of 2y^2 - z^2 = 1 - x^2 - 3x and 2x^2 + 2 - 2x^2 - 6x - 5y = 0

My first thought would probably be set the two equations equal to each other, but I am at a loss at what to do next. Can anyone help?

2. Originally Posted by mattnx
Hey, my math teacher assigned us this problem:

Find Curve of Intersection of 2y^2 - z^2 = 1 - x^2 - 3x and 2x^2 + 2 - 2x^2 - 6x - 5y = 0

My first thought would probably be set the two equations equal to each other, but I am at a loss at what to do next. Can anyone help?
Are you sure the second equation is correct? There are two terms canceling out which makes me suspicious....and made me ask before trying an attempt for finding the solution.

coomast

3. Originally Posted by mattnx
Hey, my math teacher assigned us this problem:

Find Curve of Intersection of 2y^2 - z^2 = 1 - x^2 - 3x and 2x^2 + 2 - 2x^2 - 6x - 5y = 0

My first thought would probably be set the two equations equal to each other, but I am at a loss at what to do next. Can anyone help?
That second "$\displaystyle 2x^2$" in the second equation is probably supposed to be either $\displaystyle 2y^2$ or $\displaystyle 2z^2$ but I don't know which. You cannot "set two equations equal to each other". What you can do is set two expressions, equal to the same thing, equal to each other.