document.write( "Question 299052: find the two consecutive positive even numbers the sum of whose squares 340 \n" ); document.write( "
Algebra.Com's Answer #215011 by checkley77(12844)\"\" \"About 
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X^2+(X+2)^2=340
\n" ); document.write( "X^2+X^2+4X+4=340
\n" ); document.write( "2X^2+4X+4-340=0
\n" ); document.write( "2X^2+4X-336=0
\n" ); document.write( "2(X^2+2X-168)=0
\n" ); document.write( "2(X+14)(X-12)=0
\n" ); document.write( "X-12=0
\n" ); document.write( "X=12 ANS.
\n" ); document.write( "12+2=14 ANS.
\n" ); document.write( "(12,14)
\n" ); document.write( "PROOF:
\n" ); document.write( "12^2+14^2=340
\n" ); document.write( "144+196=340
\n" ); document.write( "340=340
\n" ); document.write( "
\n" );