SOLUTION: Solve: xy=36 (x-15)(y+10)=36

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Question 872696: Solve:
xy=36
(x-15)(y+10)=36
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
xy=36
(x-15)(y+10)=36
--------
y = 36/x
(x-15)(y+10)=36
(x-15)((36/x)+10)=36
(x-15)(36+10x)=36x
10x^2 - 114x - 540 = 36x
10x^2 - 150x - 540 = 0
x^2 - 15x - 54 = 0
(x - 18)*(x + 3) = 0
x = -3, y = -12
x = 18, y = 2