document.write( "Question 420330: find two consecutive even whole numbers whose product is 288 \n" ); document.write( "
Algebra.Com's Answer #293743 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"find two consecutive even whole numbers whose product is 288\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 1st consecutive even number \n" ); document.write( "x + 2 = 2nd consecutive even number\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(x + 2) = 288 {their product is 288} \n" ); document.write( "x^2 + 2x = 288 {used distributive property} \n" ); document.write( "x^2 + 2x - 288 = 0 {subtracted 288 from both sides} \n" ); document.write( "(x + 18)(x - 16) = 0 {factored into two binomials} \n" ); document.write( "x + 18 = 0 or x - 16 = 0 {set each factor equal to 0} \n" ); document.write( "x = -18 or x = 16 {solved each equation for x} \n" ); document.write( "x + 2 = -16 or x + 2 = 18 {substituted -18 and 16,in for x, into x + 2}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the consecutive even numbers could be -18,-16 or 16,18 \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |