Asked by Billy
Find the points where these conics intercept:
16x^2 - 5y^2 = 64
16x^2 + 25y^2 - 96x = 256
16x^2 - 5y^2 = 64
16x^2 + 25y^2 - 96x = 256
Answers
Answered by
Susan
Multiply the first equation by 5 and add to the second
96x^2-96x=576
x^2 -x=6
x^2 - x -6=0
(x-3)(x+2)=0
x=3 or x = -2
points (3, 4), (3,-4) and (-2,0)
96x^2-96x=576
x^2 -x=6
x^2 - x -6=0
(x-3)(x+2)=0
x=3 or x = -2
points (3, 4), (3,-4) and (-2,0)
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