x + 1/x = 2 হলে x30 + 1/x30 এর মান কত?

A

B 4

C 3

D

Solution

Correct Answer: Option A

দেওয়া আছে,
x + 1/x = 2
⇒ (x2 + 1)/x = 2
⇒ x2 + 1 = 2x
⇒ x2 - 2x + 1 = 0
⇒ x2 - 2.x.1 + 12 = 0
⇒ (x - 1)2 = 0
⇒ x - 1 = 0
⇒ x = 1

এখন,
x30 + 1/x30 = 130 + 1/130
= 1 + 1/1
= 1 + 1
= 2

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