A number X whose 5th power is added to 100 which gives a number whose cube root is Y.Find X and Y.

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according to the given condition,

x^5+100=y^3

therefore,

y^3-x^5=100

y=7 and x=3

satisfies the condition,

let us check,

7^3-3^5=343-243

=100

hence,

X=3 Y=7

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