SOLUTION: This is a tough one. 3y^2+4xy-9x^2=-1 A. Solve for X in terms of Y B. Solve for Y in terms of X

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: This is a tough one. 3y^2+4xy-9x^2=-1 A. Solve for X in terms of Y B. Solve for Y in terms of X      Log On


   

Question 3354: This is a tough one.
3y^2+4xy-9x^2=-1
A. Solve for X in terms of Y B. Solve for Y in terms of X
Answer by pannalal(9) About Me  (Show Source):
You can put this solution on YOUR website!
This is a very simple question.
To solve in terms of y, consider it constant.
Let us solve the quadratic equation in terms of y (for x):
-9x%5E2%2B%284y%29x%2B%283y%5E2%2B1%29+=+0
On solving, we get
x+=+%282y+%2B-+sqrt%2831y%5E2%2B1%29%29%2F9
In the same way, we can solve for y in terms of x:
y+=+%28-2x+%2B-+sqrt%2831x%5E2-3%29%29%2F3