# If x + 1/x = 5, then value of x² + 1/x² = ?

**Answer: (B) 23**

**Solution:-**

X + 1/X = 5

Square on both side,

(X + 1/X)^{2} = 25

X^{2} + 1/X^{2} + 2 x X x 1/X = 25

X^{2} + 1/X^{2} + 2 = 25

X^{2} + 1/X^{2} = 25 – 2

X^{2} + 1/X^{2} = 23

Then, the value of X^{2} + 1/X^{2 }= 23.

Hence, the correct answer is option (B) 23.