eli123
i really need some help
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hartnn
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on which topic ?
eli123
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quadratic equations
eli123
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hartnn
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yes, i can help. post your question.
eli123
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i did up to 55sqrtof -55^2-4(24)(-24) all over 48
eli123
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which is 55 + or - sqrt of 721 all over 48
eli123
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then i got stuck, i know i have to factor right?
hartnn
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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?
eli123
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i want to learn
hartnn
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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
eli123
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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
eli123
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-64 and 9
hartnn
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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 ??
eli123
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p?
hartnn
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p and ? what can u take common from 24 and 64 ?
eli123
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4
hartnn
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nice try .... what about 8 ?
eli123
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yeah
eli123
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and then the other one is 3(3p-8)
hartnn
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so u take 8p common
8p(3p-8) + 3 (3p-8) = 0
got this ?
yes, other part is correct
eli123
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which gives you (8p+3)(3p-8)
hartnn
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excellent, u are good at this :)
eli123
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lol yeah right
hartnn
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so your roots are ?
hartnn
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8p+3 = 0 or 3p-8 = 0
u know what to do next?
eli123
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ok so -3/8 and 8/3?
hartnn
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exactly :)
eli123
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thank you!
hartnn
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welcome :)
u did most part of the problem...
eli123
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uh is there something i have to do after that? because it says its wrong
eli123
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multiply?
hartnn
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did u write it like this ?
\(\huge{\frac{-3}{8},\frac{8}{3}}\)
no,don't multiply...
hartnn
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@eli123 ,did u get it right ?
eli123
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i got it :) i had put the negative sign in front of the whole fraction :/ my bad @hartnn