Question

7. The sum of a natural number and its reciprocal is65/8 . Find the natural number.​

Answer 1

Answer:

8

Step-by-step explanation:

Let required no. be x

and, reciprocal be 1/x.

according to question,

x + 1/x = 65/8

x^2 + 1/ x = 65/8

8x^2 - 65x + 8 = 0

8x^2 - 64x - x +8 =0

8x(x-8) -1(x-8)=0

(8x-1) (x-8)=0

thus, the no. can be either 8.

Answer 2

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