## anonymous 4 years ago i really need some help

1. hartnn

on which topic ?

2. anonymous

3. anonymous

4. hartnn

yes, i can help. post your question.

5. anonymous

i did up to 55sqrtof -55^2-4(24)(-24) all over 48

6. anonymous

which is 55 + or - sqrt of 721 all over 48

7. anonymous

then i got stuck, i know i have to factor right?

8. hartnn

u have used quadratic formula to find roots, when it was asked to factor. if u only want an answer it doesn't matter what u use , factoring or formula...so do u want an answer or do u want to learn factoring?

9. anonymous

i want to learn

10. hartnn

ok, so u got quadratic equation as 24p^2 -55 p -24 = 0 right ? now tell me 2 numbers whose product is -24*24 = -576 and sum is -55

11. anonymous

that's the part that i hate, because it takes so long to find the numbers. there's no easy way to find them? or a trick

12. anonymous

-64 and 9

13. hartnn

thats correct :) so u write your equation as 24p^2 -64p +9p -24 = 0 ok ? now what can u take out common from 1st 2 terms ??

14. anonymous

p?

15. hartnn

p and ? what can u take common from 24 and 64 ?

16. anonymous

4

17. hartnn

nice try .... what about 8 ?

18. anonymous

yeah

19. anonymous

and then the other one is 3(3p-8)

20. hartnn

so u take 8p common 8p(3p-8) + 3 (3p-8) = 0 got this ? yes, other part is correct

21. anonymous

which gives you (8p+3)(3p-8)

22. hartnn

excellent, u are good at this :)

23. anonymous

lol yeah right

24. hartnn

25. hartnn

8p+3 = 0 or 3p-8 = 0 u know what to do next?

26. anonymous

ok so -3/8 and 8/3?

27. hartnn

exactly :)

28. anonymous

thank you!

29. hartnn

welcome :) u did most part of the problem...

30. anonymous

uh is there something i have to do after that? because it says its wrong

31. anonymous

multiply?

32. hartnn

did u write it like this ? $$\huge{\frac{-3}{8},\frac{8}{3}}$$ no,don't multiply...

33. hartnn

@eli123 ,did u get it right ?

34. anonymous