Question

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

Answer 1

Answer:

8/65

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Answer 2

Step-by-step explanation:

let x be a number.

x + 1/x = 65/8

(x^2 +1)/ x = 65/8

cross multiply

8x^2 +8 = 65x

8x^2 -65x +8=0

8x^2-4x-16x +8 =0

4x(2x-1)-8(2x-1) =0

(4x-8) (2x-1) = 0

x= 2 and x=1/2