document.write( "Question 1139046: Find four consecutive even integers such that the square of the sum of the first and second is equal to 516 more than twice the product of the third and fourth. List the integers from SMALLEST to LARGEST \n" ); document.write( "

Algebra.Com's Answer #756838 by josgarithmetic(39618) $\"\"$ $\"About$

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\r\n" );
document.write( "first           n\r\n" );
document.write( "second          n+2\r\n" );
document.write( "third           n+4\r\n" );
document.write( "fourth          n+6\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " $\"%28n%2Bn%2B2%29%5E2=2%28n%2B4%29%28n%2B6%29%2B516\"$ \r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"%282n%2B2%29%5E2=2%28n%5E2%2B10n%2B24%29%2B516\"$
\n" ); document.write( " $\"2%2A2%28n%2B1%29%5E2=2%28n%5E2%2B10n%2B24%29%2B2%2A258\"$
\n" ); document.write( " $\"2%28n%5E2%2B2n%2B1%29=%28n%5E2%2B10n%2B24%29%2B258\"$
\n" ); document.write( " $\"2n%5E2%2B4n%2B2=n%5E2%2B10n%2B282\"$
\n" ); document.write( " $\"n%5E2-6n-280=0\"$
\n" ); document.write( " $\"%28n%2B14%29%28n-20%29=0\"$
\n" ); document.write( " $\"highlight%28n=20%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The integers should be 20, 22, 24, 26. \n" ); document.write( "

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