What am I missing?

C

cosmic

Junior Member
Joined
Mar 3, 2014
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84
The equation below needs solving.

2hgz3g6.png

I've used the common denominator 3x(2x+1) and ended up with 2x2+9x-5=0. This is where it gets confusing because I don't know how to get the x on its own and it's the 2x2 which I don't really understand what to do with. I'd really appreciate if someone could explain to me how this is done.

Thank you in advance :)
 
cosmic said:
The equation below needs solving.

View attachment 3875

I've used the common denominator 3x(2x+1) and ended up with 2x2+9x-5=0. This is where it gets confusing because I don't know how to get the x on its own and it's the 2x2 which I don't really understand what to do with. I'd really appreciate if someone could explain to me how this is done.

Thank you in advance :)
Click to expand...

That is a quadratic equation. For a quick review, go to:

http://www.purplemath.com/modules/solvquad.htm

Also remember that your solution should exclude x = 0 and x = -½
 
Denis said:
Keerect!! Why "assume" :confused:
Check yourself: substitute your answers in original equation...

Like, with 1/2:
6 / (2x + 1) + (x - 5) / (3x) = 0

6 / (2(1/2) + 1) + (1/2 - 5) / (3(1/2)) = 0 ?

6 / (1 + 1) + (-4.5/1.5) = 0 ?

6/2 + (-3) = 0 ?

3 - 3 = 0 ? YESSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS................................:cool:
Click to expand...

:D Thank you Denis. When it comes to maths I never want to sound over confident since I still have so much to learn. Hopefully one day I could be a good as you guys on this forum and point others in the right direction. :)
 
cosmic said:
:D Thank you Denis. When it comes to maths I never want to sound over confident since I still have so much to learn. Hopefully one day I could be a good as you guys on this forum and point others in the right direction. :)
Click to expand...
The hint Denis provided is a big one: You can check ALL of your "solving" answers by plugging them back into the original problem. If they work, then your solutions are correct! ;)
 
stapel said:
The hint Denis provided is a big one: You can check ALL of your "solving" answers by plugging them back into the original problem. If they work, then your solutions are correct! ;)
Click to expand...

Thanks Stapel. Yeah it's a huge tip. I'll be sure to use it every time from now on :).
 
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