SOLUTION: Please help me with this problem! List all of the solutions of the system {{{(y-3)^2+(x+2)^2=9}}} and {{{(x-2)^2+(y-3)^2=25}}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me with this problem! List all of the solutions of the system {{{(y-3)^2+(x+2)^2=9}}} and {{{(x-2)^2+(y-3)^2=25}}}      Log On


   

Question 932622: Please help me with this problem! List all of the solutions of the system %28y-3%29%5E2%2B%28x%2B2%29%5E2=9 and %28x-2%29%5E2%2B%28y-3%29%5E2=25
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%5E2%2B%28y-3%29%5E2=25
+%28y-3%29%5E2=25+-+%28x-2%29%5E2
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%28y-3%29%5E2%2B%28x%2B2%29%5E2=9
25 - (x-2)^2 + (x+2)^2 = 9
25 - x^2 + 4x - 4 + x^2 + 4x + 4 = 9
8x = -16
x = -2 and y = 0, 6 %28y-3%29%5E2+=+9, y = 3 ± 3
(-2,0) and (-2,6) the points of Intersection
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