Posted by **Martin** on Saturday, March 10, 2012 at 12:37am.

solve the system

7x^2 - 5y^2 + 20y = 3

21x^2 + 5y^2 =209

- math -
**Steve**, Saturday, March 10, 2012 at 5:57am
since 7x^2 = 5y^2 - 20y + 3

21x^2 = 15y^2 - 60y + 9

plug that into the 2nd equation to get

20y^2 - 60y - 200 = 0

y^2 - 3y - 10 = 0

(y-5)(y+2) = 0

From there you can see that the circle and the hyperbola intersect at

(3,-2) (-3,-2) (2,5) (-2,5)

## Answer This Question

## Related Questions

- Math - Solving ya Systems of Equations by elimination -14x+15y=3 21x-20y=-10 The...
- math - What is the value of t in the equation below? (7^-64)x(7^-150)/(7^-7)x(7^...
- Algerbra - how do you solve 7(3x+4)=8(2x+5)+13 expand the parenthesis...I will ...
- math - still can't solve .32x + .20y = 3.92 it's my last math question for the ...
- Pre-Calc/Trig - Complete the following for each system that involves one or more...
- Math - solve the system of linear equations using the addition method. Can you ...
- math 209 - The perimeter of a rectangle is 44ft the length is 4ft longer than ...
- math - can anyone help with this? suppose you bought some 32 cents stamps and ...
- pre calculus - Ok not sure if it's just me with a block solve the following ...
- inequality expresion - The cost of a long distant telephone call is $0.36 for ...

More Related Questions