SOLUTION: A positive integer is increased by 5, and is equal to 36 times the reciprocal of the inetger. Find the integer.

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Question 585854: A positive integer is increased by 5, and is equal to 36 times the reciprocal of the inetger. Find the integer.
Answer by Schaman_Dempster(26) About Me  (Show Source):
You can put this solution on YOUR website!
Let the positive integer be x.
Reciprocal of the integer would be = +1%2Fx+
Now, we can set up the equation as:
+x+%2B+5+=+36+%2A+%281%2Fx%29+
or +x%2A%28x%2B5%29+=+36+ {Multiplying both the sides by x}
+x%5E2+%2B+5x+=+36+
+x%5E2+%2B+5x+-36+=+0+
+x%5E2+%2B+9x+-+4x+-+36+=+0 { Factoring by regrouping}
+x%28x%2B9%29+-+4%28x+%2B9%29+=0+
+%28x%2B9%29%28x-4%29+=0+
+x=-9%2C+x+=4
Since we have assumed that the integer is positive or x > 0
Therefore, x =4
Hope this helps~!