document.write( "Question 94220: The product of two consecutive positive even integers is 288 find the integers \n" ); document.write( "
Algebra.Com's Answer #68610 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The product of two consecutive positive even integers is 288 find the integers \n" ); document.write( ": \n" ); document.write( "The two consecutive integers: x, and (x+2) \n" ); document.write( ": \n" ); document.write( "Their product is 288: \n" ); document.write( "x*(x+2) = 288 \n" ); document.write( ": \n" ); document.write( "x^2 + 2x - 288 = 0; our old friend, the quadratic equation \n" ); document.write( ": \n" ); document.write( "Since the two numbers only differ by 2 we know the numbers will be close \n" ); document.write( "to the square root of 288 \n" ); document.write( "Sqrt(288) = 17.97 \n" ); document.write( ": \n" ); document.write( "AN easy step to see it is 16 & 18 \n" ); document.write( ": \n" ); document.write( "The factors then are: \n" ); document.write( "(x+18)(x-16) = 0 \n" ); document.write( "x = -18, with -16 \n" ); document.write( "and \n" ); document.write( "x = +16, with +18 \n" ); document.write( ": \n" ); document.write( "Did this help you? \n" ); document.write( " |