document.write( "Question 71187: The product of two consecutive positive even integers is 360. Find the integers.\r
\n" ); document.write( "\n" ); document.write( "Let the x=first even integer. Then x+2 is the next even integer.\r
\n" ); document.write( "\n" ); document.write( "Their product is 360: x(x+2)=360.\r
\n" ); document.write( "\n" ); document.write( "You have a quadratic: x^2+2x-360=0\r
\n" ); document.write( "\n" ); document.write( "Factor: (x-18)(x+20)=0\r
\n" ); document.write( "\n" ); document.write( "x=18, x+2=20\r
\n" ); document.write( "\n" ); document.write( "18*20=360\r
\n" ); document.write( "\n" ); document.write( "The integers are 18 and 20.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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The product of two consecutive positive even integers is 360. Find the integers.
\n" ); document.write( "let x = integer.
\n" ); document.write( "since they are positive even integers, the next integer will be;
\n" ); document.write( "x+2 = integer #2
\n" ); document.write( "equation;
\n" ); document.write( "x(x+2)=360
\n" ); document.write( "\"x%5E2\"+2x=360
\n" ); document.write( "subtract both sides by 360;
\n" ); document.write( "\"x%5E2\"+2x-360=0
\n" ); document.write( "factor;
\n" ); document.write( "(x-18)(x+20)=0
\n" ); document.write( "x-18=0 x+20=0
\n" ); document.write( "x=18 x=-20
\n" ); document.write( "since they are even integers, they answer has to be;
\n" ); document.write( "x=18
\n" ); document.write( "now plug 18 into the equation for x;
\n" ); document.write( "18(18+2)=360
\n" ); document.write( "18(20)=360
\n" ); document.write( "360=360
\n" ); document.write( "so your integers are; 18 and 20
\n" ); document.write( ":) \n" ); document.write( "
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