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Bill-M
Lv 7
Bill-M asked in Science & MathematicsMathematics · 2 months ago

Can You Solve This Math Problem?

X^3 + Y^3 + Z^3 =  K    for all values of K from 1 to 100??

There is something special about K=42

So can you find the Values of X, Y, Z  when K = 42

4 Answers

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  • Ian H
    Lv 7
    2 months ago
    Favorite Answer

    No solutions for positive integers only, cubes adding to 42.

    If negative integers allowed and we relax the 100 limit then ...

    (80435758145817515)^3 + (-80538738812075974)^3 + (12602123297335631)^3 = 42.

  • 2 months ago

    If X,Y,Z can be any real numbers, there are an infinite number of solutions. If they must be positive integers, there are no solutions for a K of 42. 

  • ?
    Lv 7
    2 months ago

    Sure.  X = Y = Z = cube root of 14.

    If you want integer solutions, you'd have to make one or two of the X, Y, Z negative, and I'm not sure that would produce a solution.

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