## neverforgetvivistee 4 years ago when you're subtracting rationals, do you make it into a plus sign and make EVERYTHING in the numerator of the second negative, or just make 1 number negative? for examples x-1 4x+2 ---- - ----- x(x-3) x(x-3) would you make it into a plus sign, and then make 4x and 2 negative? -4x-2

1. satellite73

yes

2. neverforgetvivistee

in the other equation you did how did you get positive 2?

3. neverforgetvivistee

4. satellite73

$\frac{x-1-(4x+2)}{x(x-3)}$ $\frac{x-1-4x-2}{x(x-3)}$ etc

5. satellite73

well in the last one you caught me in a dumb algebra mistake that is why!

6. satellite73

should be $\frac{x+2}{x}=\frac{x-1}{x}-\frac{4x+2}{x(x-3)}$ $(x+2)(x-3)=(x-1)(x+3)-4x-2$ $x^2-x-6 = x^2-2 x-5$ $-x-6=-2x-5$ $x=1$

7. neverforgetvivistee

wait what? i get x^2-x-6=x^2-8x+1 i keep on looking it over but i can't figure it out darn it

8. satellite73

oh man did i mess up again? hold on

9. neverforgetvivistee

ok so, (x-3) and (x+2) equal x^2-x-6. (x-1) and (x-3) euqlas x^2-4x+3. then when i combine them x^2-x-6=x^2-4x+3x-4x-2

10. satellite73

ok now you have caught me in two mistakes, so i am going to quit. you are right it is $(x+2)(x-3)=(x-1)(x-3)-4x-2$

11. neverforgetvivistee

then i combine like terms and get x^2-x-6=x^2-8x+1

12. neverforgetvivistee

no please don't this is a very confusing problem lol

13. neverforgetvivistee

then i get 2x^1+7x+7

14. satellite73

ok but i am making mistake after mistake. lets see what we get now

15. neverforgetvivistee

i mean 2x^2+7x+7

16. satellite73

did you get $x^2-x-6 = x^2-8 x+1$?

17. neverforgetvivistee

yes

18. satellite73

ok subtract $x^2$ from both sides

19. satellite73

let me know what you get

20. neverforgetvivistee

7x+7

21. satellite73

what happened to your equal sign?

22. neverforgetvivistee

0=7x+7

23. neverforgetvivistee

oh wait let me do this again

24. neverforgetvivistee

OMFG

25. satellite73

$x^2-x-6 = x^2-8 x+1$ $\cancel{x^2}-x-6=\cancel{x^2}-8x+1$ $-x-6=-8x+1$

26. neverforgetvivistee

I GOT THE RIGHT ANSWER THANK YOU!!!!!!!!!!!!!! FINALLY THIS PROBLEM IS THE WORST THANK YOU!!!!!!!!!!!!!

27. neverforgetvivistee

YES!!!!!!!!!

28. neverforgetvivistee

took forever!!!!!!!

29. neverforgetvivistee

x=1

30. satellite73

yw. now i have a question. what is vivistee?

31. neverforgetvivistee

my cat that ran away

32. neverforgetvivistee

never forget

33. neverforgetvivistee

listen thanks alright? my gosh that problem was so confusing and frustrating

34. neverforgetvivistee

:"}

35. neverforgetvivistee

it's finally over now :"}

36. neverforgetvivistee

i'm going to write that one down in my notes

37. satellite73