document.write( "Question 370163: the sum of a number and 8 times its reciprocal is -9 \n" ); document.write( "
\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( "\n" ); document.write( "\n" ); document.write( "\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