neverforgetvivistee
Solving rational equations:
(2x+2) (4x^2-16) (5x-5)
------- - ---------- = --------------
(3x-12) (3x^2-24x+48) (3x^2-24x+48)
I have the answer already, but I don't know how it came to be
I try to do it by factoring the 3x^2-24x+48 's and get 3(x^2-8+16)
then I multiply that by everything, as with the other denominators, and so on
but then I get a huge, incorrect answer
Someone please help even if it's one sentence. I want to get this problem done by tonight
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rld613
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Firstly you can factor out a 3
rld613
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and then it becomes 3(x-4)^2
rld613
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and 3x-12 can also be factored
rld613
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3(x-4)
rld613
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So from what I see in order to get the same denomanator you must multiply the denomanator and numerator by (x-4)
rld613
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Did u get that so far
neverforgetvivistee
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yes and i'm fixing it on my paper... stupid factoring mistakes
Thanks!
rld613
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ok gnite
neverforgetvivistee
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after this problem goodnight
neverforgetvivistee
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Do you multiply the numerator of the first fraction by 3(x-4)^4?
This is where i messed up the most
I was struggling with factoring because I'm half asleep if you were wondering why I took so long by the way...
rld613
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nope you multiply the numerator and the denomanator of the first term by (x-4)
neverforgetvivistee
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because in the second fraction the denominator I get is 3(x-4)
rld613
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well we already have a 3 in the denomanator of the first term
rld613
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First term denomanator: 3(x-4)
second term denomanator: 3(x-4) (x-4)
rld613
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so all your missing in the first term is the (x-4)
neverforgetvivistee
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how did you get rid of the 3?
rld613
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I factored it
rld613
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factor (3x-12) for me
rld613
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it is 3(x-4)
rld613
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ya
rld613
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so what doesn't make sense
neverforgetvivistee
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when you're supposed to multiply everything by the denominator
rld613
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nope we have two denomanators and we need them to be the same
rld613
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so in order ofor 3(x-4) to be equal to 3(x-4)^2
rld613
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we would have to multiply the first term by a (x-4)
rld613
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so 3(x-4)*(x-4)=3(x-4)^2
rld613
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Is that clear?
neverforgetvivistee
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yes sort of , do we do that to the numerator too?
rld613
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yup forsure
neverforgetvivistee
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ooooooooooooooooooooooooooooohhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ok I see I see
rld613
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YAY i am so excited
rld613
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I try to explain concepts but sometimes the person on the other end can't understand
neverforgetvivistee
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THANK YOU OK I ACTUALLY SEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! THANK YOU OK LISTEN TO ME RIGHT NOW LOOK AT YOURSELF IN THE MIRROR AND SAY HELL YEAH IM AWESOME IM SO GOOD AT MATH THANK YOU OKAY BECAUSE I WAS REALLY STRUGGLING WITH THAT AND NOW I CAN FINALLY SLEEP
neverforgetvivistee
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NOW IM GOING TO FINISH THIS PROBLEM AND GET THE RIGHT ANSWER!!!!!!!!!!
rld613
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Oh thanks for the boost I needed that one!!! LOL
neverforgetvivistee
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someone give rld613 some more medals
neverforgetvivistee
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i'm going to solve this problem right now afk
rld613
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I am really not into the medal thing
rld613
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I just enjoy doing math
rld613
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its like past 2 am and I am still doing math equations!!! I shld be long in bed
rld613
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K now that we finished i am going to bed
neverforgetvivistee
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rld are you still there?