SOLUTION: find the points of intersection of the hyperbola 4x^2-y^2=15 and x^2-9y^2=-5.

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Question 795150: find the points of intersection of the hyperbola 4x^2-y^2=15 and x^2-9y^2=-5.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the points of intersection of the hyperbola 4x^2-y^2=15 and x^2-9y^2=-5.
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4x^2-y^2=15
y^2=4x^2-15
..
x^2-9y^2=-5
9y^2=x^2+5
y^2=x^2/9+5/9
..
4x^-15=x^2/9+5/9
LCD:9
36x^2-135=x^2+5
35x^2=140
x^2=4
x=±√4=±2
y^2=4x^2-15
y^2=16-15=1
y=±1
points of intersection:
(2,1), (2,-1), (-2,1), (-2,-1)