Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#1 2012-07-07 01:27:27
x + 1/x
If
and , then which of the following are true and How?a. ab = 1
b. a = b
c. ab = 2
d. a + b = 0
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#2 2012-07-07 02:40:43
- TheDude
- Member
- Registered: 2007-10-23
- Posts: 361
Re: x + 1/x
Add the two equations together to get (x + 1/x) + (x - 1/x) = (a + b) + (a - b) => 2x = 2a => x = a. The rest is easy from there.
Wrap it in bacon
Offline
#3 2012-07-07 13:49:38
Re: x + 1/x
Therefore, ab = 1. Am I right?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#4 2012-07-07 14:28:04
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: x + 1/x
Hi Agnishom
That is correct.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
Offline