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anonymous

  • 5 years ago

how do i solve x^4-2x^3=16+8x-4x^3

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  1. anonymous
    • 5 years ago
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    okay. first you need to being all the terms to one side. So bring in the 16+8x - 4x^3 to the left hand side of the equation and post what you got here.

  2. anonymous
    • 5 years ago
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    x^4+2x^3-8x-16=0

  3. anonymous
    • 5 years ago
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    okay great. What is common in the first two terms x^4 and 2x^3?

  4. anonymous
    • 5 years ago
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    x^2

  5. anonymous
    • 5 years ago
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    are you sure about that?

  6. anonymous
    • 5 years ago
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    no its x^3

  7. anonymous
    • 5 years ago
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    okay. so factor out the x^3 in the first two terms and post what you got.

  8. anonymous
    • 5 years ago
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    x^3(x+2)

  9. anonymous
    • 5 years ago
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    good! next lets move on to -8x -16. what is common in those two terms?

  10. anonymous
    • 5 years ago
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    4?

  11. anonymous
    • 5 years ago
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    are you sure?

  12. anonymous
    • 5 years ago
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    what is 8 times 2?

  13. anonymous
    • 5 years ago
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    16

  14. anonymous
    • 5 years ago
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    so its 8..

  15. anonymous
    • 5 years ago
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    okay what is -8 times 2?

  16. anonymous
    • 5 years ago
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    -16

  17. anonymous
    • 5 years ago
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    so what can you factor out?

  18. anonymous
    • 5 years ago
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    im confused..

  19. anonymous
    • 5 years ago
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    -8x-16. what can you factor out here?

  20. anonymous
    • 5 years ago
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    -8(x-2)

  21. anonymous
    • 5 years ago
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    correct

  22. anonymous
    • 5 years ago
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    no -8(x+2)

  23. anonymous
    • 5 years ago
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    yes, that is correct.

  24. anonymous
    • 5 years ago
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    -8(x+2) is correct

  25. anonymous
    • 5 years ago
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    so the whole equation is what X^3(x+2)-8(x+2) right?

  26. anonymous
    • 5 years ago
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    yea

  27. anonymous
    • 5 years ago
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    im sorry, it is x^3(x+2)-8(x+2)=0

  28. anonymous
    • 5 years ago
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    so what can you factor out here?

  29. anonymous
    • 5 years ago
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    (x^3-8)(x+2)=0 x=-2,2 is the answer

  30. anonymous
    • 5 years ago
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    thinker, I was in the middle of explaining the whole problem from beginning to end so that car could do it on his own without me thinking for him and doing his calculations for him.

  31. anonymous
    • 5 years ago
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    i wanted to figure it out myself

  32. anonymous
    • 5 years ago
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    that is not how he will learn.

  33. anonymous
    • 5 years ago
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    ohh...sorry..just wanted to help :)

  34. anonymous
    • 5 years ago
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    I understand :)

  35. anonymous
    • 5 years ago
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    thanks though guys!

  36. anonymous
    • 5 years ago
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    youre welcome.

  37. anonymous
    • 5 years ago
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    ur welcome ! :)

  38. anonymous
    • 5 years ago
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    by the way im a girl lol

  39. anonymous
    • 5 years ago
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    sorry, lol

  40. anonymous
    • 5 years ago
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    alright car, good luck .Look for patterns when you are asked to solve or simplify equations.

  41. anonymous
    • 5 years ago
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    ok!

  42. anonymous
    • 5 years ago
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    what if the problem is x/x^2-4 + 1/x+2 =3..do i solve it the same by bringing the 3 to the other side?

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