May 18th, 2015, 01:14 PM  #1 
Newbie Joined: May 2015 From: Israel Posts: 4 Thanks: 0  help needed.
Hi all new around here. could u please help me solve the next eq. sqrt(x(1)/(x))  sqrt(1(1)/(x)) = (x1)/(x) 
May 18th, 2015, 01:41 PM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,885 Thanks: 1504  Quote:
$\displaystyle \sqrt{x\frac{1}{x}}  \sqrt{1\frac{1}{x}} = 0$ so, $\displaystyle \frac{x1}{x} = 0$ $\displaystyle x = 1$  
May 18th, 2015, 02:00 PM  #3 
Newbie Joined: May 2015 From: Israel Posts: 4 Thanks: 0 
I didnt understand the steps could u elebarete? and btw there are 2 solutions. 1 of them is 1. 
May 18th, 2015, 03:37 PM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
Your equation is $\displaystyle \sqrt{x \frac{1}{x}} \sqrt{1 \frac{1}{x}}= 0$. Adding $\displaystyle \sqrt{1 \frac{1}{x}}$ to both sides: $\displaystyle \sqrt{x \frac{1}{x}}= \sqrt{1 \frac{1}{x}}$ Squaring both sides, $\displaystyle x \frac{1}{x}= 1 \frac{1}{x}$. Add $\displaystyle \frac{1}{x}$ to both sides: $\displaystyle x= 1$. I do NOT see a second solution. What reason do you have to say there are two solutions? Last edited by Country Boy; May 18th, 2015 at 03:40 PM. 
May 18th, 2015, 04:17 PM  #5  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,138 Thanks: 872 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
May 18th, 2015, 05:28 PM  #6  
Math Team Joined: Jul 2011 From: Texas Posts: 2,885 Thanks: 1504  Quote:
$\displaystyle \sqrt{x\frac{1}{x}}  \sqrt{x\frac{1}{x}}$ instead of what you (and I) typed ... $\displaystyle \sqrt{x\frac{1}{x}}  \sqrt{1\frac{1}{x}}$  
May 19th, 2015, 03:55 AM  #7 
Newbie Joined: May 2015 From: Israel Posts: 4 Thanks: 0  
May 19th, 2015, 04:40 AM  #8 
Senior Member Joined: Nov 2010 Posts: 288 Thanks: 1 
the answers are: 1 and phi=golden ratio

May 19th, 2015, 04:41 AM  #9 
Newbie Joined: May 2015 From: Israel Posts: 4 Thanks: 0  

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