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Mathematics 12 Online
OpenStudy (anonymous):

Please help! problem in description

OpenStudy (anonymous):

terenzreignz (terenzreignz):

Get rid of the denominators, first :)

OpenStudy (anonymous):

that's the part i have trouble with

terenzreignz (terenzreignz):

I'm writing it here, for your convenience... \[\LARGE \frac{3}{x}+\frac{3}{x-2}=1\]

OpenStudy (anonymous):

thx

terenzreignz (terenzreignz):

The most straightforward way to get rid of denominators is by multiplying the expression by said denominator...

terenzreignz (terenzreignz):

So... let's multiply everything by x... \[\LARGE x\left(\frac3{x}+\frac3{x-2}\right)=x(1)\]

OpenStudy (anonymous):

so i multiply both sides by by (x)(x-2) ?

terenzreignz (terenzreignz):

Actually, yes :) Go for it, champ ^.^

OpenStudy (anonymous):

so so far i have \[3x-6+3x=3x^2 -6\]

OpenStudy (anonymous):

is that correct?

terenzreignz (terenzreignz):

How did you get 3x²-6 on the other side?

terenzreignz (terenzreignz):

As I recall, you only multiplied everything by x(x-2) = x² - 2x

OpenStudy (anonymous):

oohh i got mixed up

terenzreignz (terenzreignz):

Error in calculation. Requesting rectification of the situation. Stand by... ^.^

OpenStudy (anonymous):

\[3x−6+3x=x^2−2\] so it's this?

terenzreignz (terenzreignz):

Still no ;) Remember... x(x-2) = x² - 2x

terenzreignz (terenzreignz):

And yet you only have x² - 2 on the right-hand side of your equation...

OpenStudy (anonymous):

im confused, this is waht i did. i first multiplied both sides by x and got \[3+(3x/x-2)=x\] then i multiplied it by x-2 and got \[3x-6 + 3x = x^2-2\]

terenzreignz (terenzreignz):

Start with this... \[\Large 3+\frac{3x}{x-2}=x\]Multiplying by x-2, you get... \[\Large (x-2)\left(3+\frac{3x}{x-2}\right)=x(x-2)\]

OpenStudy (anonymous):

\[3x-6+3x=x^2-2x\]

terenzreignz (terenzreignz):

And ther eyou go :) Now just solve it. Using Quadratic Formula.

OpenStudy (anonymous):

kk i see, thanks

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