[(x)/(x+2)]-[(2)/(2x-1)]=(1/5)
please solve thanks!

Question

immanuelv · Answer

one of the solution is -3/4
other one is 3

anonymous · Answer

attachment

smurfy14 · Answer

how though?

anonymous · Answer

the solution is in the attachment

smurfy14 · Answer

thanks!! do you know how to get -3/4 like that iman guy was talking about?

anonymous · Answer

there is a mistake. Im trying to fix it

immanuelv · Answer

do you have a graphing calculator?

smurfy14 · Answer

no but im not allowed to use it on my hw anyways

immanuelv · Answer

ok so what u need to do is plug in 1/5 to the y then solve for x!

smurfy14 · Answer

emunrradtvamg are you talking about the -1 being positive? if so i got it.
and imman there is no y?

immanuelv · Answer

well 1/5 is basically the y sorry!

anonymous · Answer

attachment

anonymous · Answer

This is where i got

anonymous · Answer

and finally

anonymous · Answer

im i right?

smurfy14 · Answer

i dont think thats right lol but the very first one you attached is right. now i just need to figure out how to get -3/4 as the second answer. The correct answer is 3 and -3/4 i just dont know how to show the work for the second answer.

anonymous · Answer

actually the very first attachment is wrong

smurfy14 · Answer

well you messed up a bit at the end but in the end it is still 3

smurfy14 · Answer

5x-10=2x-1
3x=9
x=3

anonymous · Answer

Ok. I tried lol

anonymous · Answer

too long to be solved through openstudy

smurfy14 · Answer

thanks very much! do you how to get -3/4 for the second answer?

radar · Answer

I too, am having trouble following the work on the second attachment.  Although 3 is a correct solution.

smurfy14 · Answer

do you know how to get -3/4 radar?

radar · Answer

Well the quadratic may have two roots, the 3 and another.  I am hung up on the second line of  the attachment, where he put the numerator over the LCD and got x(2x+2) I keep getting x(2x-1) for the first fraction.  I will look into it further and post here later.  Right now I got to put my dogs up.

radar · Answer

But first lets see if -3/4 is an answer

-3/4            2                    1
------  -  ---------  =  ----
-3/4 +2     2(-3/4)-1         5

-3/4             2                    1
------   -  ---------- =  ----
  5/4            -5/2                 5

-3/5      -  (-4/5   =   1/5

It checks as an answer

radar · Answer

The solution to that quadratic does not come out to 3 or -3/4.  the results of$$x=1/16(3\pm 3\sqrt{65}$$ is an irrational number not the integer 3, or the fraction -3/4  something is wrong (maybe with me lol)