SOLUTION: What are the centers of the equations and their points of intersection? x^2=y+10 y^2+5(x-1)^2=81

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Question 843717: What are the centers of the equations and their points of intersection?
x^2=y+10
y^2+5(x-1)^2=81

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Intersection of an ellipse and a parabola.
1.
2.
From eq. 1,


Substituting into eq. 2,



.
.
Four solutions:


Then,

(1,-9)
and


Then,

(4,6)
and


Then,

(-2,-6)
and


Then

(-3,-1)

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