document.write( "Question 387196: the product of three consecutive positive intergers is 8 times their sum. What is the sum of their squares? \n" ); document.write( "

Algebra.Com's Answer #273692 by stanbon(75887) $\"\"$ $\"About$

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the product of three consecutive positive integers is 8 times their sum.
\n" ); document.write( "What is the sum of their squares?
\n" ); document.write( "-------
\n" ); document.write( "1st: x-1
\n" ); document.write( "2nd: x
\n" ); document.write( "3rd: x+1
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "x(x^2-1) = 8(3x)
\n" ); document.write( "---
\n" ); document.write( "x^3-x = 24x
\n" ); document.write( "---
\n" ); document.write( "x^3-25x = 0
\n" ); document.write( "x(x^2-25) = 0
\n" ); document.write( "x(x-5)(x+5) = 0
\n" ); document.write( "x = 0
\n" ); document.write( "x = 5
\n" ); document.write( "x = -5
\n" ); document.write( "-----
\n" ); document.write( "Using x = 5
\n" ); document.write( "1st: -4
\n" ); document.write( "2nd: 5
\n" ); document.write( "3rd: 6
\n" ); document.write( "---------
\n" ); document.write( "Sum of squares: (-4)^2+5^2+6^2 = 16+25+36 = 77
\n" ); document.write( "===========
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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