Question

Please help me understand this.

Answer 1

There is nothing to understand?

Answer 2

\[\frac{2}{x-1}+1 = \frac{2}{x ^{2}-x}\]

Answer 3

Solve for x:

Answer 4

I did this whole problem for you an hour ago. You didn't understand it?

Answer 5

I know you tried to help me earlier Mathandphysics, but I didn't understand how you got the common denominator

Answer 6

the common denominator is something that can be shared by all 3 denominators. So what does (x-1), x, and (x^2 - x) have in common?

Answer 7

I tried to pull it from the left side and I keep getting (x-1)(x^2-x) as the common denominator

Answer 8

they are all part of (x^2 - x) because x times (x - 1) will get you to that.

Answer 9

(x-1) is already part of (x^2 - x) so you don't need it

Answer 10

We could cheat...

Answer 11

So you can just throw it out the window?

Answer 12

you don't throw it out. it is INCLUDED INSIDE of (x^2 - x)

Answer 13

Let's cheat

Answer 14

Let's do the left side only

Answer 15

ok which would be 2/x-1 + x-1/x-1 right?

Answer 16

Yes, it's all over x-1

Answer 17

but wouldn't leave you with just 2/x-1

Answer 18

\[\frac{2(x)}{x-1}+1(x) = \frac{2(x)}{x ^{2}-x}\]
\[\frac{2x}{x-1}+x = \frac{2x}{x-1}\]

Answer 19

sat i think ur on the wrong question man :)

Answer 20

Complicated it all again...

Answer 21

fakshon look ..

Answer 22

if you had 1/2 + 1/4 = 1/6 ... what would be the common denominator?

Answer 23

i forgot to cancel my x on the right :) doh!!

Answer 24

ok which would be 2/x-1 + x-1/x-1 right?

ie 1+x/x-1

Answer 25

Just follow along, OK...

Answer 26

oh my page was messed up .. thats weird

Answer 27

So now we have

1+x/x-1 = 2/x^2-x agreed?

Answer 28

ok

Answer 29

Do u know how to cross multiply?

Answer 30

yes

Answer 31

Go on then, do it

Answer 32

can you cross multiply over an = sign? Never done that before.

Answer 33

you HAVE to cross multiply across an equal sign

Answer 34

ie a/b =c/d -> ad = bc

Answer 35

I'll do it

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

U follow?

Answer 36

Yes? No?

Answer 37

ok so x^3-1 = 2x-2

Answer 38

U went to fast....

Answer 39

x^2-x is equal to x(x-1), right?

Answer 40

yes

Answer 41

So you can cancel the left and right of x-1

Answer 42

Leaving

(1+x)x = 2

Answer 43

so x = 2 not -2?

Answer 44

or did I lose it, lol

Answer 45

Now we expand

(1+x)x = 2 ->

x+x^2 = 2 which is a quadratic...

Answer 46

hey estudier go to chat after ur done

Answer 47

Quadratic factors as (x+2)(x-1) _> x= -2 or 1