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ELEEWS33

  • 3 years ago

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

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  1. Mertsj
    • 3 years ago
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    Subtract 8 from both sides. List the possible rational roots and use synthetic division.

  2. ELEEWS33
    • 3 years ago
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    what is synthetic division?

  3. Mertsj
    • 3 years ago
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    |dw:1358823297466:dw|

  4. ELEEWS33
    • 3 years ago
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    still confused as to what that was.... please re-explain. I don't understand the image.

  5. Mertsj
    • 3 years ago
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    Perhaps you have never studied synthetic division. What class are you taking?

  6. Azteck
    • 3 years ago
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    divide that polynomial by (x-2)

  7. ELEEWS33
    • 3 years ago
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    Alg 2 and trig

  8. Azteck
    • 3 years ago
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    I will tell you why I told you to divide by x-2

  9. Azteck
    • 3 years ago
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    You have to test a number in that polynomial so that x^3-x^2+x-8=0 is true.

  10. Mertsj
    • 3 years ago
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    It won't do any good to divide by x-2 since x-2 is not a factor.

  11. Azteck
    • 3 years ago
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    if you substitute 2 for x then you get 0=0 which means 2 is a root of that polynomial.

  12. Mertsj
    • 3 years ago
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    Check your work Azteck. 2 is NOT a root

  13. Azteck
    • 3 years ago
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    Ah yes. You're right.

  14. ELEEWS33
    • 3 years ago
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    hey.. guys?! I'm still really confused as to how I'm supposed to solve this...

  15. Mertsj
    • 3 years ago
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    There is one real root of approximately 2.2 and 2 complex roots. That's from Wolfram

  16. Mertsj
    • 3 years ago
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    So perhaps you could solve it with a graphing calculator.

  17. Mertsj
    • 3 years ago
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    Are you allowed to use technology?

  18. ELEEWS33
    • 3 years ago
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    um... I still don't understand how to find x myself... without wolframalpha...

  19. Mertsj
    • 3 years ago
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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.

  20. ELEEWS33
    • 3 years ago
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    But I have to solve it algebraically

  21. Mertsj
    • 3 years ago
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    Sorry. I can't help you with that. Better page Satellite73

  22. Mertsj
    • 3 years ago
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    He's the brains of this outfit.

  23. ELEEWS33
    • 3 years ago
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    could you shoot him a message for me, I've not come accross him so I can't contact him.

  24. Azteck
    • 3 years ago
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    @satellite73

  25. Azteck
    • 3 years ago
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    He will get to you now.

  26. Azteck
    • 3 years ago
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    or later*

  27. ELEEWS33
    • 3 years ago
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    shoot. He doesn't accept messages from anyone he hasn't fanned :(

  28. kirbykirby
    • 3 years ago
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    This is quite difficult without software lol. Did you see the EXACT forms of the solution... one mega expression!!

  29. kirbykirby
    • 3 years ago
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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))

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