SOLUTION: If you have two parabolas formed by the two equations: y=x^2+2 and y=-x^2+5 at what point(s) do these two parabolas intersect each other?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If you have two parabolas formed by the two equations: y=x^2+2 and y=-x^2+5 at what point(s) do these two parabolas intersect each other?      Log On


   



Question 264967: If you have two parabolas formed by the two equations: y=x^2+2 and y=-x^2+5 at what point(s) do these two parabolas intersect each other?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If you have two parabolas formed by the two equations: y=x^2+2 and y=-x^2+5 at what point(s) do these two parabolas intersect each other?
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They both equal y, so
x^2 + 2 = -x^2 + 5
2x^2 = 3
x^2 = 3/2
Solve that for x, find the y's