Solve for x: x-2/x-4=x+4/x-2

- maheshmeghwal9

Solve for x: x-2/x-4=x+4/x-2

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- anonymous

cross multiply

- jhonyy9

how do you think when there we have fractions what is necessary being the first step ?

- anonymous

you will get
\[\large{(x-2)^2 = {x^2 - 4^2}}\]

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## More answers

- jhonyy9

what will be restriction for x ?

- maheshmeghwal9

now i will get answer.

- maheshmeghwal9

ok! thanx.

- jhonyy9

so if do you like learning how you need to solve exercises like this i will help you understanding all

- anonymous

X=-6 is ans

- jhonyy9

,,mahes..." do you like to learn it ?

- maheshmeghwal9

ya

- jhonyy9

ok than answer my questions

- maheshmeghwal9

ok

- jhonyy9

than you need get the common denomminator
yes

- jhonyy9

but firstly what will be the restriction for x values ?

- jhonyy9

when a fraction will be undefined sure ?

- maheshmeghwal9

when we divide it by zero.

- jhonyy9

so when the denomminator is zero YEs ?

- jhonyy9

so than look it there when will be zero these denominators ?

- maheshmeghwal9

for 4 & 2.

- jhonyy9

so than these restrictions for x will be that x not can being equal never 4 and 2

- maheshmeghwal9

ok

- jhonyy9

after this so when you need working with fractions what you need to do adding fractions ?

- maheshmeghwal9

ok

- jhonyy9

ok what ?
you need getting the denomminator common ,yes ?

- maheshmeghwal9

I don't understand what do you want to say.

- jhonyy9

how do you add 1/3 + 3/5 = ?

- maheshmeghwal9

14/15

- jhonyy9

so there what is 15 ?

- maheshmeghwal9

denominator

- jhonyy9

no

- jhonyy9

what style of denomminator ?

- maheshmeghwal9

common

- jhonyy9

ok yes so for your exercise can you getting the denominator common

- jhonyy9

?

- maheshmeghwal9

yes

- jhonyy9

than what will be ?

- maheshmeghwal9

(x-4)(x-2)

- maheshmeghwal9

when we subtract them

- jhonyy9

ok than what you need to do with first fraction and after with second ?

- maheshmeghwal9

i have understood what you are saying and so i will solve this question.

- jhonyy9

can i see it here ?

- maheshmeghwal9

ya i will sove

- jhonyy9

wait

- maheshmeghwal9

|dw:1336203322079:dw|

- maheshmeghwal9

yes

- maheshmeghwal9

|dw:1336203585887:dw|

- jhonyy9

(x-2)^2 =x^2 -16
x^2 -4x +4 =x^2 -16
-4x+4=-16
-4x=-20
x=5

- maheshmeghwal9

i have solved before

- jhonyy9

how was there x=10

- jhonyy9

???

- maheshmeghwal9

no you see next solution.

- maheshmeghwal9

which i have done

- jhonyy9

ok i see it but befor you have wrote there x=10

- maheshmeghwal9

ya there I was wrong. So thanx for your co-operation.

- jhonyy9

my pleasure
yw
good luck
bye

- maheshmeghwal9

bye

- ajprincess

good work @jhonny. I really appreciate t.

- maheshmeghwal9

ya

- jhonyy9

thank you good luck to you too

- ajprincess

Thanks and same to u

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