Question

when x+1/x=5 , then x^2+1/x^2=?​

Answer 1

Answer:

±5√29

Step-by-step explanation:

x2−(1x)2=(x+1x)(x−1x)

We know that (a+b)2=(a−b)2+4ab

Hence, (x+1x)2=(x−1x)2+4⋅x⋅1x=25+4=29

Hence the required solution is ±5√29

Answer 2

Answer:

x^2+1/x^2=25

Step-by-step explanation:

{x+1/x}^2= (5)^2. (squaring both side)

x^2+1/x^2=25