anonymous
  • anonymous
solve by factoring: x^2 - 2x = 24
Mathematics
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anonymous
  • anonymous
solve by factoring: x^2 - 2x = 24
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
\[^{x^2-2x=24}\]
anonymous
  • anonymous
please help me with this i need to do good on a test tomorrow
anonymous
  • anonymous
Do you have any idea what to do?

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anonymous
  • anonymous
um not really, im sorry... i wasnt at school the day of this lesson
anonymous
  • anonymous
1. Make the equation equal to \(0\) first. Since it is \(x^2-2x=24\), make it equal to zero by SUBTRACTING \(24\) on both sides.|dw:1442444154016:dw|
anonymous
  • anonymous
Do you understand so far?
anonymous
  • anonymous
yes
anonymous
  • anonymous
If you understand it, what would now the equation be?
anonymous
  • anonymous
|dw:1442444340637:dw|
anonymous
  • anonymous
|dw:1442444398863:dw|
anonymous
  • anonymous
Now let's factor this equation. :) What two numbers will you MULTIPLY to get \(24\)?
anonymous
  • anonymous
6 and 4, right?
anonymous
  • anonymous
6 and 4 are partially correct! But if you add 6 and 4, would you get -2? Yes or no?
anonymous
  • anonymous
so -6?
anonymous
  • anonymous
Yes! -6 and +4 :D
anonymous
  • anonymous
Now solve for x. |dw:1442444656142:dw|
anonymous
  • anonymous
|dw:1442444697995:dw|
anonymous
  • anonymous
ok, i kinda get it but i have a question. if you added 6 and 4, why would you get -2?
anonymous
  • anonymous
When you \(6\) and \(4\) you will not get -2, but you will get 10 because \(\huge 6+4=10\).
anonymous
  • anonymous
But when you add \(-6\) and \(4\), you'll get -2. \(\huge -6+4=-2\)
anonymous
  • anonymous
well yes XD so you're trying to get to -2 as well?
anonymous
  • anonymous
Like that is your goal?
anonymous
  • anonymous
Yes! You want to get -2 when you add them and at the same time get -24 when you multiply them. :D
anonymous
  • anonymous
ohhh, ok that makes sense now...
anonymous
  • anonymous
Okay, back to this. :) |dw:1442445006629:dw|
anonymous
  • anonymous
Find x. |dw:1442445027766:dw|
anonymous
  • anonymous
so are you now trying to get to -24? so the answer would be x=6,-4?
anonymous
  • anonymous
"so are you now trying to get to -24?" No. We've already done that because \(\huge (-6)(4)=-24\)
anonymous
  • anonymous
"so the answer would be x=6,-4? CORRECT! We're trying to solve for x. :)
anonymous
  • anonymous
For further references here's a link in factoring trinomials: https://www.youtube.com/watch?v=Nj9GgAM-dTQ Enjoy Algebra!
anonymous
  • anonymous
oh ok thank you?
anonymous
  • anonymous
!!**
anonymous
  • anonymous
You are welcome! :D

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