Question

One number is reciprocal to another and Arithmetic mean between them is 5/4 find them​

Answer 1

Answer:

2, 1/2

Step-by-step explanation:

Arithmetic mean of two numbers is given as

$n=\frac{a+b}{2}$

Here a=x and b=1/x

$n=\frac{x+1/x}{2}$

$\frac{5}{4} =\frac{x^{2}+1}{2x}$

$\frac{5}{2}x=x^{2} +1\\ x^{2}-\frac{5}{2}x+1=0$

$x=2, \frac{1}{2}$