Question

x+1/x = 2
x^100 + 1/x^100 = ? x+1/x = 2
x^100 + 1/x^100 = ? @Mathematics

Answer 1

x = 1

Answer 2

Solution please..

Answer 3

Well, it depends

I think it's 2

Answer 4

yes, it's 2

Answer 5

Good

Answer 6

what cat?

Answer 7

Can anyone explain the solution.

Answer 8

It's not possible, it's in addition:
x+1/x = 2
x+1 = 2x this is wrong
It should be :
x^2+1 = 2x

Answer 9

x+1\[\neq\] 2x here

Answer 10

(x+1)/x = 2

or

x + (1/x) = 2

Which one is it?

Answer 11

First we have to make the denominator equal.

Answer 12

Maybe you should think about using parentheses when you post problems. I'm sick of helping students who don't know how to properly use parentheses when posting fractions linearly

Answer 13

If you don't use parentheses, then you haven't written the fraction properly

Answer 14

Oh, it's my mistake. You gave correct answer, I thought you understood the question.

Answer 15

abdul, post the original problem again and use parentheses

Answer 16

\[x+\left( 1/x \right)=2\]
\[x ^{100}+\left( 1/x ^{100} \right)=?\]

Answer 17

This is exactly why I hate the setup they have here

Answer 18

x+ (1/x) = 2
(x^2/x) + (1/x) = 2
(x^2+1)/x = 2
x^2+1 = 2x
x^2-2x+ 1 = 0
x^2-x-x+1 = 0
x(x-1)-1(x-1) = 0
(x-1)(x-1) = 0
(x-1)^2=0
x-1 =0
x =1

Answer 19

x^100 + (1/x^100) = ?

1^100 + (1/1^100) = ?
1 + 1/1 = ?
1+1 = 2

Answer 20

Is that good enough?

Answer 21

Either way, whether you do it right or wrong, you still get 2

Answer 22

When 2x comes to left side will it not get divided?

Answer 23

Nope. You never divide by the variable you're solving for

Answer 24

Remember that forever

Answer 25

Thanks Hero,
Your name best suits you..

Answer 26

I guess

Answer 27

or may be it should be SUPER HERO

Answer 28

In this case, it wouldn't matter, but in other cases, dividing by the variable you're solving for would eliminate a solution set and therefore, once you solved for the variable, you wouldn't have the full solution, only part of it. And thus, a partial solution is not a full solution and you would either get points taken off or it be marked wrong altogether.

Answer 29

Yeah, I understand

Answer 30

If you run into problems similar to this, know that your job is to rescue the variables from the denominator and then keep them out of the denominator.

Answer 31

So you're the super hero, and you must save the variables so that they may have all of their solutions and live happily ever after.

Answer 32

Then you are the Great Super Hero, because you only taught to save the variables.

Answer 33

:D

Answer 34

Which place are you from?

Answer 35

I'm from a place far far away.

Answer 36

country?

Answer 37

Think Galaxy, not country

Answer 38

Fine, which Special Galaxy other than Milky Way

Answer 39

Pegasus Galaxy, the other side of the known universe. Me and other Great Super Heroes spend our lives saving variables

Answer 40

It would take radio signals million of years to reach earth..

Answer 41

but your taking just a second to reply?

Answer 42

I came here in a spaceship that travels faster than the speed of light. (Yes such vehicles exist)