January 12th, 2015, 11:08 AM  #1 
Newbie Joined: Oct 2014 From: Norway Posts: 19 Thanks: 0  impossible :(
Some help please ?

January 12th, 2015, 11:23 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,638 Thanks: 2623 Math Focus: Mainly analysis and algebra 
Multiply through by $6x$. You should get a quadratic equation.

January 12th, 2015, 12:40 PM  #3 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 880 Thanks: 60 Math Focus: सामान्य गणित 
take L.C.M.

January 13th, 2015, 12:50 AM  #4 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36 
$\displaystyle \frac{1}{3x}+\frac{x}{2}=\frac{5}{6}$ $\displaystyle \frac{1}{3x}(6x)+\frac{x}{2}(6x)=\frac{5}{6}(6x)$ $\displaystyle \frac{6x}{3x}+\frac{6x^2}{2}=\frac{30x}{6} $ $\displaystyle 2+3x^2=5x$ $\displaystyle 3x^25x+2=0$ $\displaystyle (3x2)(x1)=0$ $\displaystyle x=1$ or $\displaystyle x=\frac{2}{3}$ 

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