Solve x3 = 64 over 27. ±8 over 3 8 over 3 ±4 over 3 4 over 3

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Solve x3 = 64 over 27. ±8 over 3 8 over 3 ±4 over 3 4 over 3

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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  • phi
you could check your answer choices
this isnt the one that needs checking

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Other answers:

  • phi
x^3 means x*x*x so you could check if the answer times itself 3 times gives 64/27
  • phi
I am suggesting a way to decide what the answer is. one way is to check each of the 4 possible answers. only one of them should "work"
  • phi
the other way to answer the question is to "solve for x" but that involves finding cube roots.
hmmm
let me look rlly fast
im not sure
  • phi
let's test x= 8/3 what is \[ \frac{8}{3} \cdot \frac{8}{3} \cdot \frac{8}{3} \] multiply top times top and bottom times bottom
512/27?
@phi is that it
  • phi
yes and 512/27 is not 64/27 in other words, 8/3 (and also -8/3) is not the answer the other two choices are 4/3 and \(\pm\) 4/3 the only difference is the second choice includes -4/3 but -4/3 * -4/3 * -4/3= -64/27 it is negative and we want +64/27 that means the only answer that works is 4/3

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