document.write( "Question 585854: A positive integer is increased by 5, and is equal to 36 times the reciprocal of the inetger. Find the integer. \n" ); document.write( "

Algebra.Com's Answer #373506 by Schaman_Dempster(26) $\"\"$ $\"About$

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Let the positive integer be x.\r
\n" ); document.write( "\n" ); document.write( "Reciprocal of the integer would be = $\"+1%2Fx+\"$ \r
\n" ); document.write( "\n" ); document.write( "Now, we can set up the equation as:\r
\n" ); document.write( "\n" ); document.write( " $\"+x+%2B+5+=+36+%2A+%281%2Fx%29+\"$
\n" ); document.write( "or $\"+x%2A%28x%2B5%29+=+36+\"$ {Multiplying both the sides by x}
\n" ); document.write( " $\"+x%5E2+%2B+5x+=+36+\"$
\n" ); document.write( " $\"+x%5E2+%2B+5x+-36+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+9x+-+4x+-+36+=+0\"$ { Factoring by regrouping}
\n" ); document.write( " $\"+x%28x%2B9%29+-+4%28x+%2B9%29+=0+\"$
\n" ); document.write( " $\"+%28x%2B9%29%28x-4%29+=0+\"$
\n" ); document.write( " $\"+x=-9%2C+x+=4\"$
\n" ); document.write( "Since we have assumed that the integer is positive or x > 0
\n" ); document.write( "Therefore, x =4\r
\n" ); document.write( "\n" ); document.write( "Hope this helps~! \n" ); document.write( "

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