document.write( "Question 1103856: If the difference between the square of a positive integer and the integer before it is 33, what is the integer? \n" ); document.write( "

Algebra.Com's Answer #718558 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If the difference between the square of a positive integer and the integer before it, is 31, what is the integer?
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\n" ); document.write( "x^2 - (x-1) = 31
\n" ); document.write( "x^2 - x + 1` = 31
\n" ); document.write( "x^2 - x + 1 - 31 = 0
\n" ); document.write( "x^2 - x - 30 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-6)(x+5) = 0
\n" ); document.write( "The positive solution
\n" ); document.write( "x = 6 is the integer
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\n" ); document.write( "See if that works 6^2 - 5 = 31 \n" ); document.write( "

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