Question

(1/(r+2))+(1/r)=((6r-6)/(r^2+2r))
Solve completely check for extraneous solutions

Answer 1

\[\frac{ 1 }{ r+2 }+\frac{ 1 }{ r }=\frac{ 6r-6 }{ r^2+2r }\]

Answer 2

ok start by finding the common denominator for the left hand side of the equation

Answer 3

it be r+2 but how do you get there?

Answer 4

not quite

Answer 5

its LCM is product of r+2 and r

Answer 6

wait woudn't it be r^2+2r?????

Answer 7

yes

Answer 8

so would you have to multiply the top of the fraction too?

Answer 9

yes you multiply the top and the bottom by what you used to get the common denominator

Answer 10

\[\frac{ 2r+2 }{ r^2+2r } \right?\]

Answer 11

yes now look at the denominators on both sides

Answer 12

thier the same

Answer 13

Yep so how do you get rid of them from their

Answer 14

multiply each side by it right?

Answer 15

yep and they are gone

Answer 16

and then just solve! god if only my math teacher explained it like this!!!

Answer 17

don't forget to check for the extraneous solutions

Answer 18

in this case you can just plug your answer back into the equation and see that it works or look at the original equation and see that \[\neq-2 or 0\] because you can not have 0 in the bottom of the fractions