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dtan5457

  • one year ago

If x+1/x=7, compute x^3+1/x^2

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  1. dtan5457
    • one year ago
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    So far I have x^2+1=7x x^2=7x-1 x^3+1/7x-1 x^2x/(1)+1/(7x-1) when I cross out 7x-1 i get x+1. then what?

  2. dtan5457
    • one year ago
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    @Hero

  3. Hero
    • one year ago
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    Hang on a min.

  4. dtan5457
    • one year ago
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    okay thanks

  5. Hero
    • one year ago
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    ( x+1)/x=7 multiply both sides by × x +1 =7x Subtract × from both sides 1=6x x= 1/6

  6. Hero
    • one year ago
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    Plug × to other expression

  7. dtan5457
    • one year ago
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    wait so all my x^2+1=7x was incorrect?

  8. Hero
    • one year ago
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    . Is the original problem you posted correct as written?

  9. dtan5457
    • one year ago
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    \[x+\frac{ 1 }{ x }=7, x^3+\frac{ 1 }{ x^2 }=?\]

  10. Hero
    • one year ago
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    ± see, Better you use later to post from now on.

  11. Hero
    • one year ago
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    latex *

  12. dtan5457
    • one year ago
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    okay

  13. dtan5457
    • one year ago
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    so does your solution still stand?

  14. dtan5457
    • one year ago
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    @jdoe0001

  15. Hero
    • one year ago
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    No, it doesn't

  16. dtan5457
    • one year ago
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    any ideas?

  17. Hero
    • one year ago
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    Calculate ( x +1/ x ) ^ 2 and (x+1 / x ) ^ 3 )

  18. dtan5457
    • one year ago
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    i dont get it sorry

  19. dtan5457
    • one year ago
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    one of my friends even said its unsolvable without quadratic formula but im pretty sure my teacher doesnt want a quadratic use

  20. Hero
    • one year ago
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    ( x + 1 / x ) ^ 2 = 7^2

  21. Hero
    • one year ago
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    If you don't get that I can't help you

  22. Hero
    • one year ago
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    Expand the left side

  23. dtan5457
    • one year ago
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    \[x^2+\frac{ 1 }{ x^2 }+x+\frac{ 1 }{ x^2 }\]

  24. Hero
    • one year ago
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    That's not what I got

  25. dtan5457
    • one year ago
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    lol i give up, i'll ask my teacher tomorrow. thanks

  26. Hero
    • one year ago
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    You give up too easy.

  27. dtan5457
    • one year ago
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    Been working on 4 problems for about 2 hours, it's time too move on if I want decently sufficient sleep. I've been getting mixed answers and solutions so I'll just let my teacher explain.

  28. dtan5457
    • one year ago
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    it can be solved with the quadratic formula so I just used that. Not sure if that's what my teacher wants but i'll see.

  29. Hero
    • one year ago
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    Nope, it probably isn't. There's another way to solve that your teacher may be looking for.

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