Question

If the reciprocal of a positive number is subtracted from the number, gives 24/5, what is the number?​

Answer 1

Answer:

reciprol will be 5/24

hope it helps u

Answer 2

Answer:

Step-by-step explanation:

​​​​​​Let a positive number be x then

According to question:

x - 1/x = 24/5

(x^2 - 1)/x = 24/5

5x^2 - 5 = 24x         cross multiplication

5x^2 -24x - 5 = 0

5x^2 - 25x + x - 5 = 0

5x(x-5) + 1(x-5) = 0

(5x+1) (x-5) = 0

Either x = 5 or x = -1/5