Please help me with this equations:

1.) 13/x^2-9x+14 = 5/x-3 + 3x-7/x^2+2x-15

2.) 3x/x+1 - 1/3 = 5/x+1

3.) 11/x+5 - 5/x-3 = 3x-7/x^2+2x-15

4.) 17/y + 13/y+2 = 14/y^2-12y

5.) y/y-8 - 48/y^2-64 = y/y+8

thank you for your kind consideraton :-)

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- November 8th 2006, 01:23 AMwhoaPlease Help.Solving Rational Equation
Please help me with this equations:

1.) 13/x^2-9x+14 = 5/x-3 + 3x-7/x^2+2x-15

2.) 3x/x+1 - 1/3 = 5/x+1

3.) 11/x+5 - 5/x-3 = 3x-7/x^2+2x-15

4.) 17/y + 13/y+2 = 14/y^2-12y

5.) y/y-8 - 48/y^2-64 = y/y+8

thank you for your kind consideraton :-) - November 8th 2006, 03:21 AMCaptainBlack
- November 8th 2006, 04:34 AMSoroban
Hello, whoa!

Is there a typo in #1?

We end up with an ugly cubic equation.

I'll do #2 . . .

Quote:

Find the LCD and multiply through by it . . .

The LCD is:

We have: .

Cancel and get: .

. . .Solve for . . . .

. . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

- November 8th 2006, 05:17 AMearbothnr. 3 only
- November 8th 2006, 05:30 AMearbothnr. 5 this time
- November 8th 2006, 06:55 AMSoroban
Hello, whoa!

Quote:

We have: .

The LCD is:

Multiply through by the LCD:

. .

which simplifies to that ugly cubic I promised you:

. . . . .*ack!*

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

I conclude that you copied the first fraction incorrectly.

Problem #1 is expected to be simple and straight-forward.

. . I suspect that its denominator is .

Can you**please**get back to us?

- November 8th 2006, 12:40 PMwhoa
Thank you guys!

oh by the way, i'd copied number 1 right, I think my math instructor made a mistake.;)

thanks again for your answers!