# If (x + 1/x) = 3, then (x² + 1/x²) is equal to-

(a) 10/3

(b) 82/9

(c) 7

(d) 11

**Answer: (c) 7 **

**Solution:-**

x + 1/x = 3 ………………… (1)

Square on both side,

(x + 1/x)^2 = 3^2

x^2 + (1/x)^2 + 2 *x*1/x = 9

x^2 + 1/x^2 + 2 = 9

x^2 + 1/x^2 = 9 – 2

x^2 + 1/x^2 = 7

Hence, the correct answer is option is (c) 7.