SOLUTION: Find A, B and C, cr[cr(2) - 1] = cr(A) + cr(B) + cr(C) Where cr means cube root

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Question 1208098: Find A, B and C,
cr[cr(2) - 1] = cr(A) + cr(B) + cr(C)
Where cr means cube root

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

One solution is obvious:

        A = 0,   B = 0,   C = cr(2)-1.


3-1 = 2 other similar solutions can be found using permutations.


Several other solutions can be found easily.

Take A= 1, B= -1, C = cr(2)-1.

Check that it does satisfy equation.

6-1 = 5 other similar solutions can be found using permutations.


Generally speaking,  there are infinitely many solutions in real numbers.  A  and  B  can be assigned by an arbitrary way,
and then value of  C  can be adjusted from the equation.


So,  without additional restrictions,  this  " problem "  makes a few sense.


In the form as presented,  this  " problem "  is good as a joke
to make a reader laughing after several minutes of thinking.



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