ELEEWS33
Solve for x:
x^3 -x^2 +x=8
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Mertsj
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Subtract 8 from both sides. List the possible rational roots and use synthetic division.
ELEEWS33
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what is synthetic division?
Mertsj
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|dw:1358823297466:dw|
ELEEWS33
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still confused as to what that was.... please re-explain. I don't understand the image.
Mertsj
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Perhaps you have never studied synthetic division. What class are you taking?
Azteck
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divide that polynomial by (x-2)
ELEEWS33
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Alg 2 and trig
Azteck
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I will tell you why I told you to divide by x-2
Azteck
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You have to test a number in that polynomial so that x^3-x^2+x-8=0 is true.
Mertsj
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It won't do any good to divide by x-2 since x-2 is not a factor.
Azteck
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if you substitute 2 for x then you get 0=0 which means 2 is a root of that polynomial.
Mertsj
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Check your work Azteck. 2 is NOT a root
Azteck
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Ah yes. You're right.
ELEEWS33
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hey.. guys?! I'm still really confused as to how I'm supposed to solve this...
Mertsj
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There is one real root of approximately 2.2 and 2 complex roots. That's from Wolfram
Mertsj
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So perhaps you could solve it with a graphing calculator.
Mertsj
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Are you allowed to use technology?
ELEEWS33
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um... I still don't understand how to find x myself... without wolframalpha...
Mertsj
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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.
ELEEWS33
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But I have to solve it algebraically
Mertsj
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Sorry. I can't help you with that. Better page Satellite73
Mertsj
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He's the brains of this outfit.
ELEEWS33
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could you shoot him a message for me, I've not come accross him so I can't contact him.
Azteck
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@satellite73
Azteck
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He will get to you now.
Azteck
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or later*
ELEEWS33
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shoot. He doesn't accept messages from anyone he hasn't fanned :(
kirbykirby
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This is quite difficult without software lol. Did you see the EXACT forms of the solution... one mega expression!!
kirbykirby
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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))