We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
464
2
avatar

If |12/x+3|= 2, find the product of all possible values of x. Express your answer as an improper fraction.

 

the lines are absolute value

 Aug 17, 2017
 #1
avatar+1904 
0

                          \(|\frac{12}{x}+3|=2\)

 

\(\frac{12}{x}+3=2\)                    \(-(\frac{12}{x}+3)=2\)

 

\(\frac{12}{x}+3-3=2-3\)     \(-\frac{12}{x}-3=2\)

 

\(\frac{12}{x}+0=2-3\)             \(-\frac{12}{x}-3+3=2+3\)

 

\(\frac{12}{x}=2-3\)                    \(-\frac{12}{x}+0=2+3\)

 

\(\frac{12}{x}=-1\)                        \(-\frac{12}{x}=2+3\)

 

\(\frac{12}{x}\times x=-1\times x\)        \(-\frac{12}{x}=5\)

 

\(12=-1\times x\)                 \(-\frac{12}{x}\times x=5\times x\)

 

\(12=-x\)                        \(-12=5\times x\)

 

\(\frac{12}{-1}=\frac{-x}{-1}\)                        \(\frac{-12}{5}=\frac{5x}{5}\)

 

\(-12=\frac{-x}{-1}\)                      \(-\frac{12}{5}=\frac{5x}{5}\)

 

\(-12=x\)                          \(-\frac{12}{5}=x\)

 

\(x=-12\)                          \(x=-\frac{12}{5}\)

.
 Aug 17, 2017
 #2
avatar+349 
+1

And their product is \({144\over5}\)

 

laugh

Mathhemathh  Aug 17, 2017

7 Online Users

avatar
avatar
avatar