document.write( "Question 192814: Please help.
\n" ); document.write( "Translate into a mathematical equation, solve and answer the question.
\n" ); document.write( "THE SUM OF AN INTEGER AND ITS SQUARE (THAT INTEGER MULTIPLYIED TIMES ITSELF) IS 132. WHAT COULD THAT INTEGER BE.
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Algebra.Com's Answer #144717 by Earlsdon(6294)\"\" \"About 
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Let n = the integer in question, then, from the problem description you can write:
\n" ); document.write( "\"n%2Bn%5E2+=+132\" Rearrange into a quadratic equation in standard form:
\n" ); document.write( "\"n%5E2%2Bn-132+=+0\" Factor this.
\n" ); document.write( "\"%28n-11%29%28n%2B12%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"n-11+=+0\" or \"n%2B12+=+0\" so that...
\n" ); document.write( "\"n+=+11\" or \"n+=+-12\":
\n" ); document.write( " There are two solutions, one positive, (11) and one negative, (-12).
\n" ); document.write( "Check:
\n" ); document.write( "\"n%2Bn%5E2+=+132\" Substitute n = 11.
\n" ); document.write( "\"11%2B+121+=+132\"
\n" ); document.write( "\"132+=+132\" OK
\n" ); document.write( "\"n%2Bn%5E2+=+132\" Substitute n = -12.
\n" ); document.write( "\"-12%2B144+=+132\"
\n" ); document.write( "\"132+=+132\" OK
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