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(1/x)+(x/x+2)=1

 May 22, 2014

Best Answer 

 #1
avatar+676 
+8

To answer this question you will need to break down this equation.

First of all lets try and simplify all that can be simplified.

1x+xx+2=1

First of all we can see a fraction that can be simplified. That is ofcourse, X Over X. Any number, if the Numerator and Denominator is identical, then it will always equal to 1. So being that, we will substitute X over X with 1.

1x+1+2=1 

Let us move over some numbers across the = sign.

1x=121

Lets solve that:

1x=2

Now we must eradicate the denominator. To do that we will multiply both sides by x.

1x×x=(2×x)

Lets solve that!

1x×x=(2×x)x=12x=0.5

We have jumped a step, however, you should be able to see what has been done.

x=-0.5

Lets substitute that in!

10.5+(0.5)0.5+2=1

Lets solve it now and see if it work!

10.5=2

(0.5)0.5=1

2+1+2=1

Is it correct?

Yes!

Therefore x=0.5

 May 22, 2014
 #1
avatar+676 
+8
Best Answer

To answer this question you will need to break down this equation.

First of all lets try and simplify all that can be simplified.

1x+xx+2=1

First of all we can see a fraction that can be simplified. That is ofcourse, X Over X. Any number, if the Numerator and Denominator is identical, then it will always equal to 1. So being that, we will substitute X over X with 1.

1x+1+2=1 

Let us move over some numbers across the = sign.

1x=121

Lets solve that:

1x=2

Now we must eradicate the denominator. To do that we will multiply both sides by x.

1x×x=(2×x)

Lets solve that!

1x×x=(2×x)x=12x=0.5

We have jumped a step, however, you should be able to see what has been done.

x=-0.5

Lets substitute that in!

10.5+(0.5)0.5+2=1

Lets solve it now and see if it work!

10.5=2

(0.5)0.5=1

2+1+2=1

Is it correct?

Yes!

Therefore x=0.5

TakahiroMaeda May 22, 2014
 #2
avatar+130466 
0

Good job, Takahiro !!!

Points and a Thumbs-Up !!

 May 22, 2014
 #3
avatar+118703 
0

Hi Takahiro,

Thanks for that great answer,

Welcome to web2.0calc forum.

I have sent you a private message.

Melody.

 May 22, 2014

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