document.write( "Question 245451: Find three consecutive even integers such that the sum of the squares of the first and second integers is equal to the square of the third integer. \n" ); document.write( "
Algebra.Com's Answer #179285 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
let n= the first integer n+1= the second integer and n+2= the third integer
\n" ); document.write( "n^2+(n+1)^2=(n+2)^\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "work out the squares
\n" ); document.write( "(n+1)^2=n^2+2n+1
\n" ); document.write( "(n+2)^2=n^2+4n+4
\n" ); document.write( "n^2+ n^2+2n+1=n^2+4n+4
\n" ); document.write( "subtract n^2 from both sides
\n" ); document.write( "n^2+2n+1=+4n+4
\n" ); document.write( "subtract 4n from both sides\r
\n" ); document.write( "\n" ); document.write( "n^2-2n+1=4
\n" ); document.write( "subtract 4 from both sides
\n" ); document.write( "n^2-2n-3=0
\n" ); document.write( "n=3 and -1
\n" ); document.write( "try 3, 4 and 5
\n" ); document.write( "3^2+4^2=5^2
\n" ); document.write( "9+16=25
\n" ); document.write( "ok
\n" ); document.write( "try -1,0,1
\n" ); document.write( "(-1)^2+0^2=1^2
\n" ); document.write( "1=1
\n" ); document.write( "ok\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );