SOLUTION: typo in the last one its actually the sume of an integer and its reciprocal is 65/8. Find the integer

Question 371970: typo in the last one its actually
the sume of an integer and its reciprocal is 65/8. Find the integer
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Multiuply both sides by

Two solutions but only one is an integer solution.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
Let x represent the integer
question states
x + 1/x = 65/8 Multiplying each term by 8x so as all denominators = 1
8x^2 + 8 = 65x
8x^2 - 65x + 8 = 0

x = 2/16 cannot use (not an integer)
x = 128/16
x = 8
checking our answer
8 + 1/8 = 64/8 + 1/8 = 65/8
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