document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123585>Question 123585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me to solve this:<BR>\n" );
document.write( "find three consecutive integers. the square of the largest one equals the sum of the squares of the other two. </SPAN>\n" );
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document.write( "Let's change the words into math operations.<BR>\n" );
document.write( "(x+2)^2=(x+1)^2 +x Simplify<BR>\n" );
document.write( "x^2+2x+4=x^2+2x+1+x Put all the numbers on one side of the equal sign.<BR>\n" );
document.write( "x^2+2x+4-x^2-2x-1-x=0 Simplify<BR>\n" );
document.write( "x=3 <BR>\n" );
document.write( "So the 3 consecutive numbers are 3,4,5.<BR>\n" );
document.write( "Verify: 5^2=3^2+4^2   25=9+16 </SPAN>\n" );
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