SOLUTION: The line 3x+4y=15 intersects the curve 2xy=9 at A and B. Find a) the coordinates of A and of B, b) the distance AB

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Question 384723: The line 3x+4y=15 intersects the curve 2xy=9 at A and B. Find
a) the coordinates of A and of B,
b) the distance AB

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
From eq. 2,

Substitute into eq. 1,




Two solutions:


Then,


.
.
.


Then,


.
.
.

.
.
.
Now that you have the coordinate, use the distance formula to find the distance between them.









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