document.write( "Question 181922: Find three consecutive positive even integers such that the sum of their squares is 980. \n" ); document.write( "

Algebra.Com's Answer #136563 by Alan3354(69443) $\"\"$ $\"About$

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Find three consecutive positive even integers such that the sum of their squares is 980.
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\n" ); document.write( "There are 2 ways to do this.
\n" ); document.write( "The easy way:
\n" ); document.write( "Since the numbers are close, each is about 1/3 of the total.
\n" ); document.write( "980/3 =~ 326. The square root of 326 is just over 18 (18^2 = 324).
\n" ); document.write( "So 18 is the middle number, and they're 16, 18 and 20.
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\n" ); document.write( "The hard way:
\n" ); document.write( " $\"x%5E2+%2B+%28x%2B2%29%5E2+%2B+%28x%2B4%29%5E2+=+980\"$
\n" ); document.write( " $\"3x%5E2+%2B+12x+%2B+20+=+980\"$
\n" ); document.write( " $\"3x%5E2+%2B+12x+-+960+=+0\"$
\n" ); document.write( "(3x+60)*(x-16) = 0
\n" ); document.write( "x = 16, x = -20
\n" ); document.write( "It says positive, so it's 16, 18 & 20\r
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