document.write( "Question 353429: The sumof the squares of three consecutive positive integers is 77. Find the integers.
\n" ); document.write( "The book gives a hint: if one integer is x, the next consecutive positive integer is x+1, and the third is x+2 \n" ); document.write( "
Algebra.Com's Answer #252515 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The sum of the squares of three consecutive positive integers is 77. Find the integers.
\n" ); document.write( "The book gives a hint: if one integer is x, the next consecutive positive integer is x+1, and the third is x+2
\n" ); document.write( "----
\n" ); document.write( "The \"book\" is correct, but you could just as well use, x-1,x,x+1
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "(x-1)^2 + x^2 + (x+1)^2 = 77
\n" ); document.write( "x^2 -2x + 1 + x^2 + x^2+2x+1 = 77
\n" ); document.write( "---
\n" ); document.write( "3x^2 +2 = 77
\n" ); document.write( "3x^2 = 75
\n" ); document.write( "x^2 = 25
\n" ); document.write( "x = 5
\n" ); document.write( "-----
\n" ); document.write( "1st: x-1 = 4
\n" ); document.write( "2nd: x = 5
\n" ); document.write( "3rd: x+1 = 6
\n" ); document.write( "------
\n" ); document.write( "Checking:
\n" ); document.write( "4^2 + 5^2 + 6^2
\n" ); document.write( "= 16 + 25 + 36
\n" ); document.write( "= 77
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );