SOLUTION: Solve nonlinear system by substitution. x^2+y^2=25 x^2-y=5

SOLUTION: Solve nonlinear system by substitution. x^2+y^2=25 x^2-y=5

Algebra.Com

Question 250436: Solve nonlinear system by substitution.
x^2+y^2=25
x^2-y=5
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

1.
2.
This solves the intersection of a parabola and a circle.
From 2,

Subsitute into 1.

Two solutions:
y+5=0
y=-5
Then

.
.
.

Then

and
The intersection points are then
(3,4), (-3,4), and (0,-5)

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