Okay, I don't know how to do this what so ever and I'm getting frustrated because my book isn't showing in great detail what I'm suppose to be doing!

I need help with 5 equations... this is one of them.

8/x+2 + 8/2 = 5

Please help me!!!

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- Jan 5th 2007, 12:41 PMmOoGaLySolving Rational Equations...help!!
Okay, I don't know how to do this what so ever and I'm getting frustrated because my book isn't showing in great detail what I'm suppose to be doing!

I need help with 5 equations... this is one of them.

8/x+2 + 8/2 = 5

Please help me!!! - Jan 5th 2007, 12:56 PMgalactus
- Jan 5th 2007, 01:11 PMmOoGaLy
- Jan 5th 2007, 01:35 PMgalactus
No, check yourself. If you put your answer back into the equation, do you get 5?. I don't think so.

You got a little discombobulated on your distribution.

Let's try your answer first:

Now, let's do it this way:

Subtract 4x from both sides:

Subtract 10 from both sides:

See?.

Actually, you're not seeing the forest for the trees. Don't let the algebra and x's psyche you out.

Look at it for a second. Follow:

What plus 4 equals 5. Well, you don't have to be a brilliant mathematician to see that. 4+1=5

Therefore, must be 1. What makes that 1?. When x=6. See?.

Relax. It'll be OK. - Jan 5th 2007, 01:46 PMmOoGaLy
Ohh. Parenthasis first..

That seems so easy! Thank you!!

Do I multiply by all the equations? - Jan 5th 2007, 02:23 PMgalactus
You're partially correct. You use the GCD, which is

See?. You have more in the denominators than just x+6. There's a 3x there, also.

Cancel what needs cancelled and you get:

Distribute:

Divide by 2:

Now, can you solve the quadratic?. - Jan 5th 2007, 02:42 PMmOoGaLy
Woah woah, why do you divide by 2?

Okay, well using the equation

I used the quadratic formula and I am stuck at

(doesn't know the codes to make this look correct)

x = -5 plus/minus symbol 1 all over 2 - Jan 5th 2007, 03:04 PMgalactus
I divided by 2 because I could and wanted to. All the terms were divisible by 2

The quadratic can be factored.

Can you factor?. You can use the quadratic formula, too, but this one is easily factorable.

- Jan 5th 2007, 03:07 PMmOoGaLy
- Jan 5th 2007, 03:47 PMmOoGaLy

I multipied them

but I had a feeling that I was suppose to cancel out the 4's but I chose not to..

Next,

And I moved the

to the left side of the equation...

I'm stuck at

I did something wrong, didn't I? =( I am horrible at this! - Jan 5th 2007, 04:01 PMgalactus

I multipied them

but I had a feeling that I was suppose to cancel out the 4's but I chose not to..

Next,

And I moved the

to the left side of the equation...

Factor:

See the solution now?.

I'm stuck at

I did something wrong, didn't I? =( I am horrible at this! - Jan 5th 2007, 04:18 PMmOoGaLy
You lost me. How does end up into x = a number?

- Jan 5th 2007, 04:19 PMmOoGaLy
:confused: ??

- Jan 5th 2007, 07:08 PMtopsquark
- Jan 7th 2007, 03:37 PMmOoGaLy
Oh! Okay, thank you so much galactus & topsquark!! You've been loads of help.

If I need anymore, I'll be back lol