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x^2 - 9y^2 = 0 where x > 0 and y > 0

work out the ratio of x : y

 Apr 26, 2018
 #1
avatar+2298 
+2

I hope this helps you! This is just algebraic manipulation.
 

\(x^2-9y^2=0\)  
\(x^2=9y^2\)  
\(\frac{x^2}{y^2}=9\)  
\(\left(\frac{x}{y}\right)^2=9\)  
\(\frac{x}{y}=\frac{3}{1}\\ x:y=3:1\) Be careful! Do not take the negative root. "x" and "y" must both be positive. This is given information.
   
 Apr 26, 2018
 #2
avatar+622 
+1

Ok! thanks for the detailed explanation

YEEEEEET  Apr 27, 2018

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