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The difference between a number and its reciprocal is 3. What are the possible values of the number?

 Jul 21, 2022
 #1
avatar+2668 
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We have the equation: x1x=3

 

Solve as follows: 

 

x2x1x=3

x21x=3

x21=3x 

x23x1=0

 

Now, just solve the quadratic...

 Jul 21, 2022
 #2
avatar+11 
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x1x=3

 

x21=3x

 

x23x1=0

 

x=3±132

 

 

smiley

.
 Jul 21, 2022

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