How many real solutions [x,y] are there that satisfy the two equations x^2 + y^2= 30 and 4y^2-X^2=100?

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- Oct 26th 2006, 07:37 PMRimasReal Solutions
How many real solutions [x,y] are there that satisfy the two equations x^2 + y^2= 30 and 4y^2-X^2=100?

- Oct 26th 2006, 07:44 PMThePerfectHacker
You have a circle and hyperbola.

- Oct 26th 2006, 11:30 PMSoroban
Hello, Rimas!

Did you try*solving*the system?

Quote:

How many real solutions are there that satisfy: .

Add the equations: .

Substitute into (1): .

There are__four__solutions: .