document.write( "Question 954069: Find three consecutive positive integers such that the square of the first, increased by the last, is 22. \n" ); document.write( "

Algebra.Com's Answer #582756 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find three consecutive positive integers such that the square of the first, increased by the last, is 22.
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\n" ); document.write( "Three consecutive numbers, x, (x+1), (x+2)
\n" ); document.write( "n^2 + (n+2) = 22
\n" ); document.write( "n^2 + n + 2 - 22 = 0
\n" ); document.write( "n^2 + n - 20 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(n+5)(n-4) = 0
\n" ); document.write( "The positive solution
\n" ); document.write( "n = 4
\n" ); document.write( "then
\n" ); document.write( "4, 5, 6 are the 3 consecutive numbers
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\n" ); document.write( "Check this:
\n" ); document.write( "4^2 + 6 = 22 \n" ); document.write( "

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