SOLUTION: How can solve an equation when x, and y are squared?: x squared + y squared=25 x =y squared-5

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: How can solve an equation when x, and y are squared?: x squared + y squared=25 x =y squared-5      Log On


   

Question 871196: How can solve an equation when x, and y are squared?: x squared + y squared=25
x =y squared-5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is the intersection of a circle and a sideways parabola.
1.x%5E2%2By%5E2=25
x=y%5E2-5
2.y%5E2=x%2B5
Substitute eq. 2 into eq. 1,
x%5E2%2Bx%2B5=25
x%5E2%2Bx-20=0
%28x%2B5%29%28x-4%29=0
Two solutions:
x%2B5=0
x=-5
Then
y%5E2=-5%2B5
y%5E2=0
y=0
and
x-4=0
x=4
y%5E2=4%2B5
y%5E2=9
y=0+%2B-+3
So the points of intersection are (-5,0),(4,-3),and (4,3).