Solve for x: x^3 -x^2 +x=8

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Solve for x: x^3 -x^2 +x=8

Mathematics
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Subtract 8 from both sides. List the possible rational roots and use synthetic division.
what is synthetic division?
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Other answers:

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