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# Factorization Problem

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I was just wondering if there was a way to solve the systems of equations a+b+c=x, ab+ac+bc=y, and abc=z, given that a,b,c,x,y,z are integers. I know that this is basically asking for the cubic formula, but I was wondering if there was a nier way to do it.

Thanks for any help I get.

Apr 6, 2024

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There are an infinite number of solutions to the question you asked - see below.  Perhaps you meant to add another condition.

Apr 7, 2024

#2
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There are an infinite number of solutions to the question you asked - see below.  Perhaps you meant to add another condition.

Alan Apr 7, 2024
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a problem would be something like a+b+c=4,ab+ac+bc=22, abc=65. I don't really understand what you ment by an infinite number of solution, but thanks for taking the time to answer.

sussusus  Apr 8, 2024
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The other condition seems to be that you specify in advance the values of x, y and z.  It wasn't clear from your original question that that was what was intended!

Alan  Apr 8, 2024