What are all the positive integers that satisfy this equation?

In summary, a positive integer is any whole number greater than 0 and for an integer to satisfy an equation means that when substituted into the equation, it results in a true or balanced statement. To find all the positive integers that satisfy an equation, one can solve it algebraically or plug in different values. There can be multiple positive integer solutions to an equation, and there are various strategies and patterns that can aid in finding them.
  • #1
donglepuss
17
4
X^3 + y^2 - z = z^3 - x^2 + y

what are all the positive integers for x,y, z that satisfy this equation?
 
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  • #2
What is the context for this problem? Is this a homework question?

if x,y,z can be any positive integer then 1 works for all.
 

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