Question

The sum of a number and its reciprocal is 5.2. We would like to find out the number.​

Answer 1

Answer:

x+ (1/x) = 5.2

x^2–5.2x + 1 = 0

x1 = [5.2 +(27.04–4)^0.5]/2

= [5.2+4.8]/2

= 10/2

= 5

x2 = [5.2–4.8]/2 = 0.4/2 = 0.2

Answer 2

Answer:

x+ (1/x) = 5.2

x^2–5.2x + 1 = 0

x1 = [5.2 +(27.04–4)^0.5]/2

= [5.2+4.8]/2

= 10/2

= 5

x2 = [5.2–4.8]/2 = 0.4/2 = 0.2