document.write( "Question 1096608: Suppose the decimal 0.28 is equal to {1}/{n}+{2}/{n^2}, where n is negative. Find n. \n" ); document.write( "

Algebra.Com's Answer #711044 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( " $\"1%2Fn+%2B+2%2Fn%5E2+=+0.28+=+28%2F100+=+7%2F25\"$

\n" ); document.write( "Clear fractions by multiplying by the LCD, which is 25n^2:
\n" ); document.write( " $\"25n+%2B+50+=+7n%5E2\"$
\n" ); document.write( " $\"7n%5E2-25n-50+=+0\"$
\n" ); document.write( " $\"%287n%2B10%29%28n-5%29+=+0\"$

\n" ); document.write( "n = -10/7 or n = 5; since the problem asks for the negative value, the answer is -10/7.
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