SOLUTION: If 9x^2 - y^2 = 0 then what is the positive value of the x/y ?

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 ?
.
Notice, I can rewrite:
9x^2 - y^2 = 0
as
(3x)^2 - y^2 = 0
.
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)

RELATED QUESTIONS
If 9x^2 - y^2 = 0 then what is the positive value of x/y... (answered by Fombitz)

If v,w,x,y, and z are positive consecutive integers whose sum is 0, then what is the... (answered by Edwin McCravy)

If two circles {{{ x^2 + y^2 + 2x + 2ky + 6 = 0 }}} and {{{ x^2 + y^2 + 2ky + k = 0 }}}... (answered by MathLover1,ikleyn)

If (y-5)^2 = 0 , then what is the value of (y+3)^2 (y-10)^2... (answered by Fombitz)

If the graph of the parabola y=kx^2+6x+k+8 is tangent to x-axis, then what is the... (answered by oscargut)

If v,w, x,y, and z are positive consecutive integers whose sum is 0, then what is the... (answered by rfer)

If x^2+x+y=8and x>0 then what is the value of y-8/x (x+1) 1 2 -1... (answered by ikleyn)

1. If X^2+x+1=0 ,then what is the value of (x^3+1/x^3)^3 ? 2. If X^X+Y=Y^3 and... (answered by Edwin McCravy)

If x<0 and 4x^2=-9x+55, what is the value of... (answered by Alan3354)