Question

if x-1/x=root6 then x^2+1/x^2=
please answer

Answer 1

Answer:

8

Step-by-step explanation:

given:

x-1/x =√6

find : x^2 + (1/x)^2

solution:

(x - 1/x)^2 = (√6)^2

by using the identity (a - b)^2= a^2 - 2ab + b^2

(x)^2 - 2(x)(1/x) +( 1/x)^2 = 6

x^2 + (1/x)^2 - 2 = 6

therefore , x^2+ (1/x)^2 = 6 + 2 = 8