document.write( "Question 486869: Find four consecutive even integers such that the product of the first and fourth is equal to the square of the second? \n" ); document.write( "
Algebra.Com's Answer #332832 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! Let x, x+2, x+4, x+6 be the 4 integers. \n" ); document.write( "x(x+6)=(x+2)^2 \n" ); document.write( "x^2+6x=x^2+4x+4 \n" ); document.write( "x^2-x^2+6x-4x=4 \n" ); document.write( "2x=4 \n" ); document.write( "x=4/2 \n" ); document.write( "x=2 ans. for the first integer. \n" ); document.write( "2+2=4 ans. for the second integer. \n" ); document.write( "2+6=8 ans. for the foyrth integer. \n" ); document.write( "Proof: \n" ); document.write( "2*8=4^2 \n" ); document.write( "16=16 \n" ); document.write( " |