document.write( "Question 370163: the sum of a number and 8 times its reciprocal is -9 \n" ); document.write( "
Algebra.Com's Answer #263809 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "Let x represent the number
\n" ); document.write( "Write as we Read
\n" ); document.write( "x + 8*(1/x) = -9
\n" ); document.write( "x^2 + 8 = -9x
\n" ); document.write( "x^2 + 9x + 8 = 0
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-9%2B-+sqrt%2849%29%29%2F%282%29+\"
\n" ); document.write( "\"x+=+%28-9%2B-+7%29%2F%282%29+\"
\n" ); document.write( "x = -16/2 = -8
\n" ); document.write( "x = -2/2 = -1
\n" ); document.write( "checking our answers
\n" ); document.write( "-8 + 8*(-1/8) = -9
\n" ); document.write( "-1 + 8*-1 = -9 \n" ); document.write( "
\n" );