SOLUTION: Problem: "The difference of a number and twice its reciprocal is 47/7. Find the number." My problem is, how can I construct an equation out of the given problem. I initially tr

Question 67981: Problem: "The difference of a number and twice its reciprocal is 47/7. Find the number."
My problem is, how can I construct an equation out of the given problem.
I initially tried x-(2)1/x=47/7, but I've got the wrong results.
Thank you for helping me with this problem.

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Problem: "The difference of a number and twice its reciprocal is 47/7. Find the number."
My problem is, how can I construct an equation out of the given problem.
I initially tried x-(2)1/x=47/7, but I've got the wrong results.
I think you're on the right track:

Multiply everything by the LCD, 7x.

Factor

Set each parentheses = to 0 and solve for x.
7x+2=0 or x-7=0
7x+2-2=0-2 or x-7+7=0+7
7x=-2 or x=7
7x/7=-2/7 or x=7
or
Sanity check:

x=-2/7 works

x=7 also works
Happy Calculating!!!!

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