Question 339380: If 9x^2 - y^2 = 0 then what is the positive value of the x/y ?
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! If 9x^2 - y^2 = 0 then what is the positive value of the x/y ?
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Notice, I can rewrite:
9x^2 - y^2 = 0
as
(3x)^2 - y^2 = 0
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This is a "difference of squares", so I can factor as:
(3x-y)(3x+y) = 0
.
The positive value of x/y is then:
3x-y = 0
3x = y
x = y/3
x/y = 1/3 (this is your answer)
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