Question

The sum of o natural numbers and its reciprocal is 65/8. Find the number.​

Answer 1

X+1/x = 65/8

x^2 +1/x = 65/8

8x^2 + 8 = 65x

8x^2 - 65x + 8

8x^2 -64x-x + 8

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

(8x-1)(x-8)

x = 1/8,8. ANSWER.