SOLUTION: My maths teacher gave the whole class this really..interesting question: The reciprocal of which number is the same as the original number, subtract one. Prove it! I am havin

Question 913200: My maths teacher gave the whole class this really..interesting question:
The reciprocal of which number is the same as the original number, subtract one. Prove it!
I am having a hard time fully understanding the question, but what I do understand is that a to get the reciprocal of a number, you simply divide it by one. That's as far as I have gotten.
I really need this because I could get 49% on my next assessment. If you could also explain how you worked it out, that would be absolutely amazing!
Thank You SO MUCH!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
let x = unknown number

x = original number
1/x = reciprocal of original number

"The reciprocal of which number is the same as the original number, subtract one." translates to

Use the quadratic formula to solve for x

Plug in , ,

or

or Use a calculator to evaluate the expressions

So the number is either or

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim
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