Question

the sum of a number and its reciprocal is 2 ⅙ what is the number​

Answer 1

Let the number be = x

According to question,

x+1/x = 13/6

x^2+1/x = 13/6

6x^2+6 = 13x

6x^2 - 13x + 6

6x^2 - 9x - 4x + 6

3x(2x-3)-2(2x-3)

(3x-2)(2x-3)

x = 2/3,3/2. Answer.

Answer 2

Answer:

x = 3/2 or 2/3

Step-by-step explanation:

Given:2 ⅙= 13/6

Let x be the number.

x + 1/x = 13/6

6x2 - 13x + 6 = 0

(2x - 3)(3x - 2) = 0

x = 3/2 or 2/3