![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
\n" ); document.write( "Without context, the problem PROBABLY is looking for a solution in positive integers. However, if (a,b,c) is a solution, then (-a,-b,-c) is also a solution.
\n" ); document.write( "The problem seems to suggest finding the product xyz first and then using that to find x, y, and z separately.
\n" ); document.write( "That can be done; but the arithmetic gets ugly. It is far easier to find the values of x, y, and z and then find the value of the product xyz.
\n" ); document.write( "The values of the separate variables can be found easily by trial and error, by looking at the possible factorizations of the three given products.
\n" ); document.write( "For me, the first thing I see is 117 = 9*13.
\n" ); document.write( "Then, having one number that has a factor of 9, I look for another; 198 = 9*22.
\n" ); document.write( "And trying 13*22 for the third product gives me the right result, 286.
\n" ); document.write( "So the solution in positive integers is 9, 13, and 22.
\n" ); document.write( "Finding the product of all three numbers is then simple arithmetic. \n" ); document.write( "