Question

what's the value of y in x=(sqrt(y)+6)/(7-sqrt(y)) ?

Answer 1

Well, I am here.

Answer 2

Thanks!

Answer 3

Welcome back!

Answer 4

Do you know how to separate y?

Answer 5

I am trying to find the inverse of the function! I already did some steps but i'm stuck!

Answer 6

Yes but not this one!

Answer 7

I sent a picture

Answer 8

I got it!

Answer 9

But why you use an online sites to find the inverse?
Can not you do it yourself?

Answer 10

I tried but I can't! I used mathway and wolgramalpha but the answers were not in the same format i need

Answer 11

Do you know the answer?

Answer 12

Ok
Can we do it together now?
easy and fast!

Answer 13

Yes!

Answer 14

Let' start

Answer 15

Can you cross multiply this fraction?

Answer 16

I think so!

Answer 17

Show me, please!

Answer 18

6/7

Answer 19

How is that?

Answer 20

the square roots cancel

Answer 21

nonononon

Answer 22

ohhh right
it's addition so I can't

Answer 23

I have to rationalize the denominator?

Answer 24

Yes.

Answer 25

x=(sqrt(y)+6)/(7-sqrt(y))
this is the form you give. roght?

Answer 26

right?

Answer 27

right!

Answer 28

ok
\[x={\frac{ \sqrt(y)+6 }{ 7-\sqrt(y) }}\]
is that correct?

Answer 29

yes

Answer 30

Great!

Answer 31

Now cross multi.

Answer 32

@paomar97
Are you there?

Answer 33

@3mar
I'd like to see this if poss?

It looks to me that you would always have a term with yx in it

Answer 34

Don't you know it?

Answer 35

you can fisrtly cross multi, then simplify

Answer 36

then collect all sqrt(y) in one side then simplify

Answer 37

after that square both sides

Answer 38

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