3 years ago

Suppose that x and y are positive integers such that x^2 * y^3=46656. What is the sum of all possible values of x?

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

Answer:

252

Step-by-step explanation:

x² * y³=46656

Prime factors of 46656:

46656 = 2⁶3⁶

Possible values of x:

(2*3)³= 216
3³ = 27
2³ = 8
1

Sum of them:

216 + 27 + 8 + 1 = 252

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