Question

if(x×1/x)=5,then (x^2+1/x^2)=?​

Answer 1

I suppose u want to write x + 1/x = 5

Step-by-step explanation:

x + 1/x = 5

So, (x + 1/x)^2 = (5)^2

= (x) ^2 + 2*x*(1/x) + (1/x)^2 = 25

[ By using (a + b) ^2 = (a) ^2 + 2ab + (b) ^2]

= (x) ^2 + 2 + (1/x)^2 = 25

[ Since x and 1/x got cancelled ]

= (x) ^2 + (1/x)^2 = 25 - 2

= (x) ^2 + (1/x)^2 = 23

Therefore (x) ^2 + (1/x)^2 = 23

Hope this helps....

Answer 2

Step-by-step explanation:

The above answer is correct.