anonymous
  • anonymous
Solve the quadratic equation: 3x2 − 2x − 8 = 0 A.4/3,2 B.-4/3,3 C. -2/3,4 D. -4/3,2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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e.cociuba
  • e.cociuba
Do u mean: 3x^2 − 2x − 8 = 0 ??
anonymous
  • anonymous
ya
e.cociuba
  • e.cociuba
(3x + 4) (x - 2) = 0 x = -4/3 x = 2 So, your answers gunna be D

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e.cociuba
  • e.cociuba
Do u want me to explain?
anonymous
  • anonymous
yes plz
e.cociuba
  • e.cociuba
So basically u want to factor the problem out to get to this: (3x + 4) (x - 2) = 0 Do u know how to factor?
anonymous
  • anonymous
no i do not know how to factor thing really good
e.cociuba
  • e.cociuba
In order to factor 3x^2 − 2x − 8 = 0, first multiply the leading coefficient 3 and the last term -8 to get -24.
e.cociuba
  • e.cociuba
So here comes the factoring part: What two numbers multiply to -24 and add to -2?
e.cociuba
  • e.cociuba
So the answers gunna be 4 and -6.
e.cociuba
  • e.cociuba
Do u have any questions so far?
anonymous
  • anonymous
no
e.cociuba
  • e.cociuba
Ok so..the original quadratic 3x^2 − 2x − 8, breaks down to this (just replace -2x with the two numbers that multiply to -24 and add to -2, which are: 4 and -6): |dw:1370451945865:dw|
e.cociuba
  • e.cociuba
Group the first two terms together and the last two terms together like this: |dw:1370452138739:dw|
e.cociuba
  • e.cociuba
Factor a 1x out of the first group and factor a -2 out of the second group: |dw:1370452205669:dw| Now since we have a common term 3x+4 we can combine the two terms. (x-2)(3x+4) Combine like terms.
e.cociuba
  • e.cociuba
Answer: So the quadratic 3x^2 − 2x − 8 = 0 factors to (x-2)(3x+4). Notice how (x-2)(3x+4) foils back to our original problem . This verifies our answer.
e.cociuba
  • e.cociuba
There you go. Have good one! :)
e.cociuba
  • e.cociuba
Huh?
anonymous
  • anonymous
so it is C
e.cociuba
  • e.cociuba
Yes! OH omg I said D. Well srry I did a mistake! Sorry. So yes ur answers C :) See, I guess I did a simple mistake at first. I guess it does help to write out ur question and do the work :)
e.cociuba
  • e.cociuba
I'm srry I took so long lol
anonymous
  • anonymous
it is ok
e.cociuba
  • e.cociuba
Have a good day! GBU! :)
anonymous
  • anonymous
ok

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