Ratio (Geometric Mean)

[goodyhi11]

If ex - fy= gx + hy find ratio of x to y

 

Answer is highly appreciated.

[Dave]

Just re-arrange the equation to give x on one side:

 

x(e-g) = y(h+f)

 

(does this answer the question, or am I being silly? I haven't done this for a while)

[ed84c]

is finding aswers for you hw all you ever use this site for?

 

ex- fy= gx + hy

 

ex-gx= Fy + hy

 

ex-gx= (f+h)y

 

(e-g)x=(f+h)y

 

x=(f+h)y/(e-g)

 

there for for every x there is (f+h)y/(e-g)

 

hope that helps

[Dave]

ex-gx= Fy + hy

 

ex-gx= fhy

 

Er, nope. fy + hy does not equal fhy. Post #1 gives the correct factorisation.

[ed84c]

fixed

[goodyhi11]

thanks dave i believe your first post was right. Thanks to you also ed84c, your first few steps was right, but i think you are a little off at last few steps.

[Dave]

Well, he's just saying that the ratio is 1 : (f+h)/(e-g) which is equivalent to the ratio (e-g) : (f+h).