document.write( "Question 174106: The sum of the squares of two consecutive even positive integers is 340.Find the integers. \n" ); document.write( "
Algebra.Com's Answer #128996 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 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( "x+2=14 ans. \n" ); document.write( "Proof: \n" ); document.write( "12^2+14^2=340 \n" ); document.write( "144+196=340 \n" ); document.write( "340=340\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |