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Mathematics 20 Online
OpenStudy (anonymous):

Solving Radical Functions??

OpenStudy (anonymous):

\[\frac{ 2x-5 }{ x-3 }-2=\frac{ 3 }{ x+3 }\]

OpenStudy (anonymous):

and \[\frac{ 2 }{ x+2 }+\frac{ 1 }{ x-2 }=\frac{ 13 }{ }\]

OpenStudy (michele_laino):

First Equation: Please, whta is the least common multiple?

OpenStudy (michele_laino):

oops...what is the least common multiple?

OpenStudy (anonymous):

See, that's where I get stuck.. Since one is positive and one is negative, I don't know how to find the LCM

OpenStudy (anonymous):

L.C.M of 6 and 7=6*7

OpenStudy (anonymous):

42

OpenStudy (anonymous):

\[\frac{ 2x-5 }{ x-3 }-2=\frac{ 3 }{ x+3 }\] \[\frac{ 2x-5-2(x-3) }{ x-3 }=\frac{ 3 }{ x+3 }\] \[\frac{ 2x-5-2x+6 }{ x-3 }=\frac{ 3 }{ x+3 }\] \[\frac{ 1 }{ x-3 }=\frac{ 3 }{ x+3 }\] cross multiply 3(x-3)=1(x+3) 3x-9=x+3 3x-x=3+9 2x=12 x=?

OpenStudy (anonymous):

6! Thank you so much!!I think I get it now!

OpenStudy (anonymous):

Can you help me with the second one? I kinda got it but I'm confused on how to do it when the third denominator is 21. Please and thank you!

OpenStudy (anonymous):

i do not see 21 anywhere written.

OpenStudy (anonymous):

\[\frac{ 2 }{ x+2 }+\frac{ 1 }{ x-2 }=\frac{ 2\left( x-2 \right)+1\left( x+2 \right) }{ \left( x+2 \right)\left( x-2 \right) }=\frac{ 2x-4+x+2 }{x^2-2^2 }=\frac{ 3x-2 }{ x^2-4 }\] now you can solve further.

OpenStudy (anonymous):

There is a 21 supposed to be under the 18 whops sorry

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