- #1

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## Homework Statement

Hi,

If I have an equation in the form

0 = a*x^2 + b*y^2 + c*x*y + d*x + e*y + c

Is it possible to solve this for y? Was hoping just to get a helpful link as this isn't for homework - just a personal project.

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- Thread starter zzmanzz
- Start date

- #1

- 54

- 0

Hi,

If I have an equation in the form

0 = a*x^2 + b*y^2 + c*x*y + d*x + e*y + c

Is it possible to solve this for y? Was hoping just to get a helpful link as this isn't for homework - just a personal project.

- #2

Ray Vickson

Science Advisor

Homework Helper

Dearly Missed

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## Homework Statement

Hi,

If I have an equation in the form

0 = a*x^2 + b*y^2 + c*x*y + d*x + e*y + c

Is it possible to solve this for y? Was hoping just to get a helpful link as this isn't for homework - just a personal project.

I assume you really mean ##0 = a x^2 + b y^2 + c x y + d x + e y + f##; that is, that the last term should not be ##c## as you wrote.

Yes, you can easily solve for ##y## in terms of ##x##, because it is a quadratic equation of the form ##A y^2 + B y + C = 0##, where you can use algebra to figure out what are ##A, B## and ##C## in terms of ##a,b,c,d,e,f## and ##x##.

- #3

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- #4

member 587159

What do you exactly mean by solve for y?

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