Question

The sum of a number and its reciprocal is 4.25 , find the number.

Answer 1

Answer:

Let the number be x then its reciprocal is 1/x,

According to question, x+1/x = 4.25 = 17/4,

Taking LCM, (x^2+1)/x = 17/4,

Cross multiplying, 4x^2+4 = 17x or 4x^2–17x+4 = 0,

4x^2–16x-x+4 = 0,

4x(x-4)-1(x-4) = 0,

(4x-1)(x-4) = 0,

Therefore x=4,1/4

Step-by-step explanation:

hope it's helpful

Answer 2

Answer:

4

Step-by-step explanation:

suppose the number is x

according to question

x+1/x=4.25

x=4