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eli123 Group Title i really need some help one year ago one year ago

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1. hartnn Group Title

on which topic ?

2. eli123 Group Title

quadratic equations

3. eli123 Group Title

4. hartnn Group Title

yes, i can help. post your question.

5. eli123 Group Title

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

6. eli123 Group Title

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

7. eli123 Group Title

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

8. hartnn Group Title

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. eli123 Group Title

i want to learn

10. hartnn Group Title

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. eli123 Group Title

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. eli123 Group Title

-64 and 9

13. hartnn Group Title

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. eli123 Group Title

p?

15. hartnn Group Title

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

16. eli123 Group Title

4

17. hartnn Group Title

nice try .... what about 8 ?

18. eli123 Group Title

yeah

19. eli123 Group Title

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

20. hartnn Group Title

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

21. eli123 Group Title

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

22. hartnn Group Title

excellent, u are good at this :)

23. eli123 Group Title

lol yeah right

24. hartnn Group Title

so your roots are ?

25. hartnn Group Title

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

26. eli123 Group Title

ok so -3/8 and 8/3?

27. hartnn Group Title

exactly :)

28. eli123 Group Title

thank you!

29. hartnn Group Title

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

30. eli123 Group Title

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

31. eli123 Group Title

multiply?

32. hartnn Group Title

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

33. hartnn Group Title

@eli123 ,did u get it right ?

34. eli123 Group Title

i got it :) i had put the negative sign in front of the whole fraction :/ my bad @hartnn