document.write( "Question 1075927: The sum of the squares of two consecutive even numbers is 84 more than the square of the next larger even number. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #690594 by jorel1380(3719) $\"\"$ $\"About$

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Let n be the first even number. Then the next two even numbers are n+2 and n+4. So:
\n" ); document.write( "n²+(n+2)²-84=(n+4)²
\n" ); document.write( "n²+n²+4n+4-84=n²+8n+16
\n" ); document.write( "n²-4n-96=0
\n" ); document.write( "(n+8)(n-12)=0
\n" ); document.write( "n=-8 or 12
\n" ); document.write( "We get a positive value for n of 12; then n+2 and n+4 are 14 and 16, respectively. ☺☺☺☺
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