Question

The sum of a number and its reciprocal is 2 1/ 42 finds the number

Answer 1

Answer:

Step-by-step explanation:

let number = x and its reciprocal = 1/x

sum = 2 1/42

sum = 85/42

85/42 = x+1/x

85/42 =( x^2+1)/x

85x/42 = x^2+1

Answer 2

x= 6/7, x= 7/6.

here,

x+1/x=2 1/42

x+1/x=85/42

x^2+1/x=85/42

85x=42(x^2+1)

42x^2-85x+42=0

42x^2-49x-36x+42=0

7x(6x-7)-6(6x-7)=0

(7x-6) (6x-7) =0

therefore,

x=6/7,x=7/6.