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

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

A 2

B 4

C 3

D 1

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

Solution

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