document.write( "Question 29633: Find a number such that the sum of the number plus 12 times its reciprocal is 8. There are two solutions. How do I do this problem? Could you show me the steps? \n" ); document.write( "
Algebra.Com's Answer #16366 by Paul(988)\"\" \"About 
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Let the number be x
\n" ); document.write( "Equation:\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B12%281%2Fx%29=8\" mulitply the whole equation by x to remove the fraction
\n" ); document.write( "\"x%28x%2F1%29%2Bx%2812%2Fx%29=x%288%2F1%29\"
\n" ); document.write( "\"x%5E2%2B12=8x\"
\n" ); document.write( "\"x%5E2-8x%2B12=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-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%2A1%2A12%29%29%2F%282%2A1%29\"
\n" ); document.write( "Simply you get two solutions:\r
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\n" ); document.write( "\n" ); document.write( "x=2 and x=6
\n" ); document.write( "Hence, the number is 2 or the number is 6.
\n" ); document.write( "Paul.
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