Question

if (x + 1/x) = 5, then (x² + 1/x²) = ?​

Answer 1

⭐Given:

• (x+1/x) =5

⭐To Find:

• (x²+1/x²) =?

⭐Solution:

Since,.

we Know that,

(a²+b²) =(a+b) ²-2ab........... (Identity)

Here,

a=x

b=1/x

Therefore,

(x²+1/x²) =(x+1/x) ²-2×x×1/x

=(5) ²-2

=25-2

=23

Therefore,

(x²+1/x²) =23..... (final answer)