Graphing y^2 - sqrt[2]|x|y + x^2 - 20 = 0

[Reina]

Graph the following:

y square minus square root 2(absolute value x)y plus x square minus 20 equal 0.

Show all work

 

[Denis]

No graph paper?
We don't have any either.

Your equation is unclear; do you mean:
y^2 - sqrt[2 * y * abs(x)] + x^2 - 20 = 0 ?

^ is power sign
sqrt means square root
* is multiplication sign
abs means absolute

Btw, I have an aunt Reina :wink:

 

[tkhunny]

Re: Graphing problem

Show all work

Ah, my favorite problem statement. In order to show some work, you must do some work. I am sure you have, but you did not share it with us.

What's your plan?

 

[Reina]

Sorry for my equation not being clear, well here is the equation again:

y^2 - squareroot 2 * abs(X) * y + x^2 - 20 = 0

* multiplication sign
abs means absolute

Well I really need help with this problem, sloving it so I can graph the equation on my calculator... But first of all I need to know how to work the problem out without an calculator. Help help me....

 

[stapel]

I will guess that, contrary to standard mathematical practice, you mean "X" and "x" to be the same variable. Also, I will guess that you are wanting to graph y as a function of x.

Given the equation y² - sqrt[2]|x|y + x² - 20 = 0, I would suggest applying the Quadratic Formula by treating the equation as a quadratic in y. This will give you "y=" in terms of x.

You will get two functions (from the "plus-minus"); graph each to get "the whole picture".

Eliz.