Question

Solve for x in the proportion 9/27x = x/x+3

I understand :
9/(27x) = x/(x + 3)
1/(3x) = x/(x + 3)
Cross multiply :
x + 3 = 3x^2
3x^2 - x - 3 = 0

Answer 1

looks fine

Answer 2

x ≈ −0.85 and x ≈ 1.18<--- isn't this my answer

Answer 3

?

Answer 4

9/27x = x/(x + 3)
27x^2 - 9x - 27 = 0
3x^2 - x - 3 = 0
x = (1 - sqrt 37)/6 = -0.847
x = (1 + sqrt 37)/6 = 1.18

Answer 5

Is it \[\frac{9}{27}x\]or,\[\frac{9}{27x}\]?

Answer 6

same question with right hand side. x/(x+3) ?

Answer 7

cross multiply:
\[9(x+3)=27x(x)\]so,\[9x+27=27x^2\]or,\[3x^2-x-3=0\]So, yeah, assuming I have your equation correct I agree with your answer.

Answer 8

thank you! ^^

Answer 9

no prob :)