SOLUTION: Find the points where these conics intersect. 16𝑥^2 − 5𝑦^2 = 64 and 16𝑥^2 + 25𝑦^2 − 96𝑥 = 256

SOLUTION: Find the points where these conics intersect. 16𝑥^2 − 5𝑦^2 = 64 and 16𝑥^2 + 25𝑦^2 − 96𝑥 = 256

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Question 911572: Find the points where these conics intersect.
16𝑥^2 − 5𝑦^2 = 64 and 16𝑥^2 + 25𝑦^2 − 96𝑥 = 256
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
From eq. 1,

Substitute into eq. 2,

Two solutions in x:

Then,

and
.
.
.

Then,

So the points are,
(3,4), (3,-4), and (-2,0)
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