document.write( "Question 958656: the sum of a number and 24 times its reciprocal is -11. find the number. \n" ); document.write( "

Algebra.Com's Answer #585886 by macston(5194) $\"\"$ $\"About$

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x=the number
\n" ); document.write( " $\"x%2B24%2Fx=-11\"$ Multiply each side by x.
\n" ); document.write( " $\"x%5E2%2B24=-11x\"$ Add 11x to each side.
\n" ); document.write( " $\"x%5E2%2B11x%2B24=0\"$
\n" ); document.write( " $\"%28x%2B3%29%28x%2B8%29=0\"$
\n" ); document.write( " $\"x%2B3=0\"$ or $\"x%2B8=0\"$
\n" ); document.write( " $\"x=-3\"$ or $\"x=-8\"$ ANSWER The number is -8 or -3.
\n" ); document.write( "CHECK:
\n" ); document.write( "For (-3):
\n" ); document.write( " $\"x%2B24%2Fx=-11\"$
\n" ); document.write( " $\"-3%2B%2824%2F-3%29=-11\"$
\n" ); document.write( " $\"-3%2B%28-8%29=-11\"$
\n" ); document.write( " $\"-11=-11\"$
\n" ); document.write( "For (-8):
\n" ); document.write( " $\"x%2B24%2Fx=-11\"$
\n" ); document.write( " $\"-8%2B%2824%2F-8%29=-11\"$
\n" ); document.write( " $\"-8%2B%28-3%29=-11\"$
\n" ); document.write( " $\"-11=-11\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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