document.write( "Question 399621: find three positive consecutive even integers such that the product of the first and second is 8 more than 38 times the third. \n" ); document.write( "
Algebra.Com's Answer #283010 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! Let x, x+2 & x+4 be the 3 integers. \n" ); document.write( "x(x+2)=38(x+4)+8 \n" ); document.write( "x^2+2x=38x+152+8 \n" ); document.write( "x^2+2x-38x-160=0 \n" ); document.write( "x^2-36x-160=0 \n" ); document.write( "(x-40)(x+4)=0 \n" ); document.write( "x-40=0 \n" ); document.write( "x=40 ans. \n" ); document.write( "x=4=0 \n" ); document.write( "x=-4 ans. \n" ); document.write( "Proof: \n" ); document.write( "40*42=38*44+8 \n" ); document.write( "1,680=1,672+8 \n" ); document.write( "1,680=1,680 \n" ); document.write( " |