Question

The sum of a natural number and its reciprocal is 65/8.Find the natural number

Answer 1

Answer:

1/8,8

Step-by-step explanation:

x + 1/x =65/8

(x²+1)/x=65/8

8(x²+1)=65x

8x²-65x+8=0

8x²-64x-1x+8

8x(x-8)-1(x-8)

(8x-1)(x-8)

x=1/8,8

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