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Destinyyyy

  • one year ago

Help with rational exponents and Find all the real and complex roots..

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  1. anonymous
    • one year ago
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    OKAY

  2. Destinyyyy
    • one year ago
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    4x ^3/2 -12=0

  3. Destinyyyy
    • one year ago
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    |dw:1440790217001:dw|

  4. anonymous
    • one year ago
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    MAKE SURE YOU ISOLATE THE TERM WITH X THEN USE LOG

  5. freckles
    • one year ago
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    don't think you need log

  6. anonymous
    • one year ago
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    THEN WE DO NOT, LN

  7. Destinyyyy
    • one year ago
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    4x ^3/2 =12 x^3/2 = 3

  8. Destinyyyy
    • one year ago
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    I have no clue what log is

  9. freckles
    • one year ago
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    raise both sides to (2/3) power

  10. anonymous
    • one year ago
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    OH i THOUGHT THAT WAS X IN THE EXPONENT HAHA MY BAD

  11. Destinyyyy
    • one year ago
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    x= 3 correct?

  12. freckles
    • one year ago
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    \[x^{\frac{3}{2}}=3 \\ x^{\frac{3}{2} \cdot \frac{2}{3}}=3^{\frac{2}{3}}\]

  13. anonymous
    • one year ago
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    YOUR RATIONAL EXPONENT MAY BE REWRITTEN AS RADICALS

  14. Destinyyyy
    • one year ago
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    Yeah.. Then the x is alone. And 3 *3=9 divide that by 3 = 3

  15. anonymous
    • one year ago
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    nooooo lol not like that

  16. Destinyyyy
    • one year ago
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    Then what?

  17. anonymous
    • one year ago
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    rewrite it as cube root of 9

  18. Destinyyyy
    • one year ago
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    As in 9*9*9 ?

  19. freckles
    • one year ago
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    no cube root and cube are different terms

  20. anonymous
    • one year ago
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    radical

  21. anonymous
    • one year ago
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    https://www.mathsisfun.com/definitions/radical.html

  22. Destinyyyy
    • one year ago
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    So confused

  23. freckles
    • one year ago
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    cube of 9 is 9*9*9 but cube root of 9 means \[\sqrt[3]{9}\]

  24. Destinyyyy
    • one year ago
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    Oh thats what your asking

  25. anonymous
    • one year ago
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    read the content of this link https://www.mathsisfun.com/definitions/radical.html

  26. Destinyyyy
    • one year ago
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    I have 3^ square root 9 written down already... Whats the next step?

  27. freckles
    • one year ago
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    \[x^{\frac{3}{2}}=3 \\ x^{\frac{3}{2} \cdot \frac{2}{3}}=3^{\frac{2}{3}} \\ x^{1}=3^\frac{2}{3} \\ x=3^{\frac{2}{3}} \\ x=(3^2)^\frac{1}{3} \] this is how he got cube root of 9 @Destinyyyy

  28. freckles
    • one year ago
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    nothing else really to do

  29. Destinyyyy
    • one year ago
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    Yes I know that.. Thats the final part? I thought there was more?

  30. Destinyyyy
    • one year ago
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    So the answer is -- 3^ square root 9

  31. freckles
    • one year ago
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    no not \[3^{\sqrt{9}}\]

  32. freckles
    • one year ago
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    cube root of 9 means \[\sqrt[3]{9}\]

  33. Destinyyyy
    • one year ago
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    Thats no what I mean

  34. Destinyyyy
    • one year ago
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    Yeah thats what im saying the 3 up top and square root 9

  35. freckles
    • one year ago
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    \[x^\frac{b}{a}=\sqrt[a]{x^{b}}\]

  36. Destinyyyy
    • one year ago
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    So thats the answer?

  37. freckles
    • one year ago
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    you can not do anything with the answer other than what we have already done

  38. freckles
    • one year ago
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    unless you are allowed to approximate

  39. Destinyyyy
    • one year ago
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    Okay

  40. Destinyyyy
    • one year ago
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    (x-3)^ 2/3 =25

  41. Destinyyyy
    • one year ago
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    x-3= 25 ^3/2

  42. Destinyyyy
    • one year ago
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    Since the 25 is now square root 25 do I change it to 5 and then times it by 3?

  43. freckles
    • one year ago
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    you mean write it as 5^3 ?

  44. freckles
    • one year ago
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    5^3 is not the same as 5(3)

  45. Destinyyyy
    • one year ago
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    I know.. Im saying 5*5*5

  46. freckles
    • one year ago
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    \[x-3=25^\frac{3}{2} \\ x-3=(25^\frac{1}{2})^3 \\ x-3=5^3 \]

  47. freckles
    • one year ago
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    yes that's right then

  48. Destinyyyy
    • one year ago
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    x-3= 125

  49. Destinyyyy
    • one year ago
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    So I ignore the 2??

  50. freckles
    • one year ago
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    what 2?

  51. Destinyyyy
    • one year ago
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    from 3/2

  52. freckles
    • one year ago
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    you did the square of 25 already you already used the 1/2 part

  53. freckles
    • one year ago
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    then you were left with 5^3 which is 5*5*5 which is 125

  54. Destinyyyy
    • one year ago
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    Ohhh... So x= 128

  55. freckles
    • one year ago
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    yeah you did it! :)

  56. Destinyyyy
    • one year ago
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    Okay :) Find all the real and complex roots. x^4 -12x^2 +27 =0

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