Ask your own question, for FREE!
Mathematics 14 Online
OpenStudy (anonymous):

Show all work solving the following rational equation. 3x/2+3/2x=14/x+x/1

OpenStudy (anonymous):

confused. is the last term really \(\frac{x}{1}\) ?

OpenStudy (anonymous):

Yes it is.

OpenStudy (anonymous):

then the whole thing looks like \[\frac{3x}{2}+\frac{2x}{3}=\frac{14}{x}+\frac{x}{1}\]?

OpenStudy (anonymous):

\[\frac{ 3x }{ 2 }+\frac{ 3 }{ 2 x}=\frac{ 14}{ x }+\frac{ x}{ 1 }\\ (2x)(\frac{ 3x }{ 2 }+\frac{ 3 }{ 2 x}=\frac{ 14}{ x }+\frac{ x}{ 1 })\\ 3x^2+3=28+2x^2\\ 3x^2-2x^2=28-3\\ x^2=25\\x=\pm\sqrt25\\ x=\pm5 \]

OpenStudy (anonymous):

It does satellite73.

OpenStudy (anonymous):

then louisrivera has it. multiply both sides by \(2x\) and then solve the resulting quadratic equation

OpenStudy (anonymous):

Ok thank you both for your help.

OpenStudy (anonymous):

\[\Huge\infty \]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Countless7Echos: Ah trying out the whole T.V girl drawing :p (I love drawing eyes)
20 seconds ago 8 Replies 5 Medals
kaelynw: starting to draw a hand
1 day ago 16 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
2 days ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
3 hours ago 7 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
3 days ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
3 days ago 27 Replies 3 Medals
kaelynw: art igg
3 days ago 14 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!