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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-> 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 386442: 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 mananth(16946) (Show Source):
You can put this solution on YOUR website! 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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3x+4y=15
2xy=9
y= 9/2x
substitute the value of y in first equation
3x+4y=15
3x+4*(9/2x)=15
multiply by 2x
6x^2+36=30x
6x^2-30x+36=0
/6
x^2-5x+6=0
x^2-3x-2x+6=0
x(x-3)-2(x-3)=0
(x-3)(x-2)=0
x=3 OR x=2
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plug value of x in the equation 2xy=9
2*3*y=9
6y=9
y=9/6
y=3/2
(3,3/2)
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2*2*y=9
4y=9
y=9/4
(2,9/4)
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Distance =
Distance =
Distance= 1.25
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