anonymous
  • anonymous
Solve for x: x^3 -x^2 +x=8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
Subtract 8 from both sides. List the possible rational roots and use synthetic division.
anonymous
  • anonymous
what is synthetic division?
Mertsj
  • Mertsj
|dw:1358823297466:dw|

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anonymous
  • anonymous
still confused as to what that was.... please re-explain. I don't understand the image.
Mertsj
  • Mertsj
Perhaps you have never studied synthetic division. What class are you taking?
anonymous
  • anonymous
divide that polynomial by (x-2)
anonymous
  • anonymous
Alg 2 and trig
anonymous
  • anonymous
I will tell you why I told you to divide by x-2
anonymous
  • anonymous
You have to test a number in that polynomial so that x^3-x^2+x-8=0 is true.
Mertsj
  • Mertsj
It won't do any good to divide by x-2 since x-2 is not a factor.
anonymous
  • anonymous
if you substitute 2 for x then you get 0=0 which means 2 is a root of that polynomial.
Mertsj
  • Mertsj
Check your work Azteck. 2 is NOT a root
anonymous
  • anonymous
Ah yes. You're right.
anonymous
  • anonymous
hey.. guys?! I'm still really confused as to how I'm supposed to solve this...
Mertsj
  • Mertsj
There is one real root of approximately 2.2 and 2 complex roots. That's from Wolfram
Mertsj
  • Mertsj
So perhaps you could solve it with a graphing calculator.
Mertsj
  • Mertsj
Are you allowed to use technology?
anonymous
  • anonymous
um... I still don't understand how to find x myself... without wolframalpha...
Mertsj
  • Mertsj
You could graph it. You could substitute values until the function changes signs and then zero in on the answer by making and checking successive guesses.
anonymous
  • anonymous
But I have to solve it algebraically
Mertsj
  • Mertsj
Sorry. I can't help you with that. Better page Satellite73
Mertsj
  • Mertsj
He's the brains of this outfit.
anonymous
  • anonymous
could you shoot him a message for me, I've not come accross him so I can't contact him.
anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
He will get to you now.
anonymous
  • anonymous
or later*
anonymous
  • anonymous
shoot. He doesn't accept messages from anyone he hasn't fanned :(
kirbykirby
  • kirbykirby
This is quite difficult without software lol. Did you see the EXACT forms of the solution... one mega expression!!
kirbykirby
  • kirbykirby
the real root, for example, is this: 1/3*(1-2 (2/(209+3 sqrt(4857)))^(1/3)+(1/2 (209+3 sqrt(4857)))^(1/3))

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