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)\"\" \"About 
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( "
\n" );