anonymous one year ago HEEEY ALL WHO WANTS A MEDAL AND EXTRA FAN???? 2x+3/x-4 - x-5/x+2

1. anonymous

Are you trying to find out what x=?

2. anonymous

no just subtracting

3. anonymous

((2x+3)/(x-4)) - ((x-5)/(x+2)) That's the problem?

4. anonymous

yes

5. anonymous

look for the LCD! Since you don't know what x is, you can just use any common denominator. One would be (x + 2)(x - 4): (2x + 3)/(x - 4) - (x - 5)/(x + 2) (2x + 3)(x + 2)/(x + 2)(x - 4) - (x - 5)(x - 4)/(x + 2)(x - 4) [(2x + 3)(x + 2) - (x - 5)(x - 4)] / (x + 2)(x - 4) now expand the numerator(s): [(2x² + 4x + 3x + 6) - (x² - 4x + 2x - 8)] / (x + 2)(x - 4) (2x² + 4x + 3x + 6 - x² + 4x - 2x + 8) / (x + 2)(x - 4) organize: (2x² - x² + 4x + 3x + 4x - 2x + 6 + 8) / (x + 2)(x - 4) (x² + 9x + 14) / (x + 2)(x - 4) (x + 7)(x + 2) / (x + 2)(x - 4) cancel out (x + 2) Answer: (x + 7) / (x - 4)

6. anonymous

7. anonymous

wait but why'd you get a different answer?

8. anonymous

I was completely wrong

9. anonymous

ohhhhh... can you show me the right way to solve it? I'm really confused.

10. anonymous

yes

11. anonymous

nvm I figured it out :)

12. anonymous

ok :)

13. anonymous

Can you check one for me though? I'm sorry for the hassle :/

14. anonymous

No problem!

15. anonymous

x+1/2x^2 - 2x+4/9x + 5x/12 THANK YOU!!!

16. anonymous

(15x^3-8x^2+2x+18)/36x^2

17. anonymous

awesome!! I got the same $$\cal\Huge\color{lime}{\ddot\smile}$$

18. anonymous

Yay!