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anonymous

  • one year ago

What is the solution of the equation? 2 5^square root (x+6)^3+3=19

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  1. anonymous
    • one year ago
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    not so easy to read this one \[25\sqrt{x+6}^3+3=19\]?

  2. anonymous
    • one year ago
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    \[2 \sqrt[5]{(x+6)^{3}} +3 =19\]

  3. misty1212
    • one year ago
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    HI!!

  4. misty1212
    • one year ago
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    fifth root right?

  5. anonymous
    • one year ago
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    2^5 sqrt((x+6)^3) + 3 = 19 32 sqrt ((x+6)^3) = 16 sqrt ((x+6)^3) = 0.5 (x+6)^3 = 0.25 x+6 = 0.6299605249 x = -5.3700394751 The answer is nothing.

  6. misty1212
    • one year ago
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    first subtract 3 from both sides

  7. anonymous
    • one year ago
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    @satellite73

  8. anonymous
    • one year ago
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    what @misty1212 said, subtract 3 as a first step what do you get?

  9. anonymous
    • one year ago
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    Answer choices are A.26 C.14 D.2

  10. anonymous
    • one year ago
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    A

  11. anonymous
    • one year ago
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    yeah yeah we can get the answer subtract 3 and get \[2\sqrt[5]{x+6}=16\] then divide both sides by \(2\)

  12. anonymous
    • one year ago
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    Subtract from 19 or from the whole equation itself?

  13. anonymous
    • one year ago
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    from both sides your goal is to get \(\sqrt[5]{x+6}\) by itself

  14. anonymous
    • one year ago
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    16/2=8

  15. anonymous
    • one year ago
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    just like if you were solving \[2x+3=19\] for \(x\) you would a) subtract 3 then b) divide by 2

  16. anonymous
    • one year ago
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    idk how to divide the other side

  17. anonymous
    • one year ago
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    right

  18. anonymous
    • one year ago
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    you have it \[\sqrt[5]{x+6}^3=8\]

  19. anonymous
    • one year ago
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    now to get \(x\)

  20. anonymous
    • one year ago
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    I just dont know what to do with the left side lol

  21. anonymous
    • one year ago
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    I appreciate you taking your time to help me btw

  22. anonymous
    • one year ago
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    lets start with \[\sqrt[5]{(x+6})^3=8\]

  23. anonymous
    • one year ago
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    getting there was the first two steps, you good til here (yw btw)

  24. anonymous
    • one year ago
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    \[\sqrt[5]{(x+6})^{\color{red}3}=8\] lets get rid of that \(\color{red}3\) next it is an exponent, so to get rid of it, take the cubed root of both sides you know what the cubed root of 8 is?

  25. anonymous
    • one year ago
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    I have no clue

  26. anonymous
    • one year ago
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    think of a number that, when you multiply it by itself 3 times, you get 8 just guess, you have very few choices if you get it wrong, i will tell you

  27. anonymous
    • one year ago
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    2

  28. anonymous
    • one year ago
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    right!

  29. anonymous
    • one year ago
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    so taking the cubed root of both sides gets rid of that exponent of 3 on the left and \[\sqrt[5]{(x+6)^3}=8\] becomes \[\sqrt[5]{x+6}=2\]

  30. anonymous
    • one year ago
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    now we have to get rid of the index of 5, which we do by raising both sides to the power of 5 what is \(2^5\)?

  31. anonymous
    • one year ago
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    you can back solve it

  32. anonymous
    • one year ago
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    i didn't lose you there did it?

  33. anonymous
    • one year ago
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    Sorry catching up my computer froze

  34. anonymous
    • one year ago
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    yeah it does that

  35. anonymous
    • one year ago
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    os i mean

  36. anonymous
    • one year ago
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    just put all the options one by one in the question and one option will satisfy the equation

  37. anonymous
    • one year ago
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    raisiing both sides to the power of 5 gives \[x+6=2^5\] or \[x+6=32\]

  38. anonymous
    • one year ago
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    32

  39. anonymous
    • one year ago
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    right

  40. anonymous
    • one year ago
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    now subtract 6 from both sides and you are done

  41. anonymous
    • one year ago
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    32-6

  42. anonymous
    • one year ago
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    yup

  43. anonymous
    • one year ago
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    26

  44. anonymous
    • one year ago
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    yes

  45. anonymous
    • one year ago
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    Wow thank you, I would have never figured that out without you breaking it down

  46. anonymous
    • one year ago
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    you are quite welcome

  47. anonymous
    • one year ago
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    I gave you a medal, well deserved

  48. anonymous
    • one year ago
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    I was right the answer is 26

  49. anonymous
    • one year ago
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    You were right, but you just gave the answer instead of explaining lol that wont help me on a test

  50. anonymous
    • one year ago
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    i prefer quick learning

  51. anonymous
    • one year ago
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    as like in mcq's u have to save time....not to write papers for one question only

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