Question

x+5/x-2=5/x+2+28/x^3-4

Answer 1

no parenthesis ?

Answer 2

better?

Answer 3

yep, just a sec...

Answer 4

take your time :)

Answer 5

oh sorry, I was doing something else

Answer 6

so you need to find a common denominator

Answer 7

for all 3?

Answer 8

it will work out nicely
start with
x^2 - 4

...what can you do to that?

Answer 9

(x-2)(x+2)

Answer 10

do you see what to do yet?

Answer 11

& put everything equal to zero, just for simplicity

Answer 12

honestly im not sure

Answer 13

once i change the x^2-4

Answer 14

Bro what I do ?

Answer 15

is that a negative in the front?

Answer 16

@tom982

Answer 17

yes

Answer 18

it is equal to zero, like I recommended

Answer 19

Are you still lost? I mean I don't want to solve it for you. These are fun to do

Answer 20

Yeah...I feel pretty confused right now. I never get these....

Answer 21

Uhh once you simplify the denominator you set it to 0...so you subtract the first part to the 3rd...

Answer 22

\[ \frac{x+5}{x-2} = \frac{5}{x+2} + \frac{28}{(x+2)(x-2)} \]
\[ \frac{(x+5)(x+2)}{(x-2)(x+2)} = \frac{5(x-2)}{(x+2)(x-2)} + \frac{28}{(x+2)(x-2)} \]
\[ (x+5)(x+2) = 5(x-2) + 28 \]
\[ x^2 + 7x + 10 = 5x-10+18 \]
\[ x^2+2x-8=0 \]
Solve for x to give your answer :)

Answer 23

how do you type so fast @tom982

Answer 24

How do you even type in that font...it's so clear.. @tom982

Answer 25

Far too much practise @adamaero !

Answer 26

equation option

Answer 27

@dtan5457, you can use the Equation tool below to do it for you, but I just type it out myself. Right click on one of the nice text and click Show math as > TeX commands and you'll see the code for that line :)

Answer 28

Anyhow I'm looking further into this .....i have to get this sooner or later....

Answer 29

@tom982

For 28(x+2)(x−2) the denominator just crosses out right? I get how the other 2 the conjugates remove the bottom part

Answer 30

I multiplied both sides by (x-2)(x+2) to get rid of all of the denominators

Answer 31

Actually for the last term I made a typo, it's x^3-4

Answer 32

So the first two get the fraction out...the 3rd term is 28/(x^2+2)(x-2)

Answer 33

How does that cross out exactly?

Answer 34

I'm making this harder than it should be aren't I...

Answer 35

Oh sorry, I didn't see the x^3. I'll redo it all, one sec.

Answer 36

much appreciated