document.write( "Question 89062: the product of two consecutive positive even integers is 288. Find the integers. \n" ); document.write( "
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\n" ); document.write( "\n" ); document.write( " the product of two consecutive positive even integers is 288. Find the integers\r
\n" ); document.write( "\n" ); document.write( " Let the first even number be = x
\n" ); document.write( " the second even number is = x+2
\n" ); document.write( " product of even integers = 288
\n" ); document.write( " x(x+2) = 288
\n" ); document.write( " x^2+2x-288 = 0
\n" ); document.write( " x^2+18x-16x-288 = 0
\n" ); document.write( " x(x+18)-16(x+18) = 0
\n" ); document.write( " (x+18).(x-16) = 0
\n" ); document.write( " since the numbers are positive integers we
\n" ); document.write( " consider only (x-16) = 0
\n" ); document.write( " x = 16
\n" ); document.write( " x+2 = 16+2 = 18\r
\n" ); document.write( "\n" ); document.write( " The two numbers (even consecutive) are 16 and 18. \n" ); document.write( "
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