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Hi all,

I've come across this forum when searching for solution to my problem and I found that the community is extremely helpful :)

I was working on my college project when I came across the equation below.

Z = -0.0006*X^2 + 0.0004*X -0.0008*Y^2 - 0.0006*Y + 0.956

Suppose that I know the value of Z (as example Z=0.15), which method can I use to find the value of X and Y?

The equation above was derived when I was trying to chart a surface graph from these two equations:

Z = -0.0006*X^2 + 0.0004*X + 0.956

and

Z = -0.0008*Y^2 - 0.0006*Y + 0.956

However I don't know the correctness of this method that I used to come up with surface graph Z = -0.0006*X^2 + 0.0004*X -0.0008*Y^2 - 0.0006*Y + 0.956

The picture of this surface graph is attached.

I tried using differential method to solve the equation but so far no luck :( Hope somebody would come up with some method or explanation regarding the matter. Many thanks.

Regards,

John

I've come across this forum when searching for solution to my problem and I found that the community is extremely helpful :)

I was working on my college project when I came across the equation below.

## Homework Statement

Z = -0.0006*X^2 + 0.0004*X -0.0008*Y^2 - 0.0006*Y + 0.956

Suppose that I know the value of Z (as example Z=0.15), which method can I use to find the value of X and Y?

## Homework Equations

The equation above was derived when I was trying to chart a surface graph from these two equations:

Z = -0.0006*X^2 + 0.0004*X + 0.956

and

Z = -0.0008*Y^2 - 0.0006*Y + 0.956

However I don't know the correctness of this method that I used to come up with surface graph Z = -0.0006*X^2 + 0.0004*X -0.0008*Y^2 - 0.0006*Y + 0.956

The picture of this surface graph is attached.

## The Attempt at a Solution

I tried using differential method to solve the equation but so far no luck :( Hope somebody would come up with some method or explanation regarding the matter. Many thanks.

Regards,

John