document.write( "Question 517039: The sum of a number and 21 times it's reciprocal is -10. Find the number? \n" ); document.write( "
Algebra.Com's Answer #344612 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
x+21/x=-10
\n" ); document.write( "x^2+21+10x=0
\n" ); document.write( "x^2+10x+21=0
\n" ); document.write( "(x+7)*(x+3)=0
\n" ); document.write( "x=-7
\n" ); document.write( "x=-3\r
\n" ); document.write( "\n" ); document.write( "check -3
\n" ); document.write( "-3+21/-3=-10
\n" ); document.write( "-3-7=-10
\n" ); document.write( "-10=-10
\n" ); document.write( "ok
\n" ); document.write( "check -7
\n" ); document.write( "-7+21/-7=-10
\n" ); document.write( "-7-3=-10
\n" ); document.write( "-10=-10
\n" ); document.write( "ok
\n" ); document.write( " \n" ); document.write( "
\n" );