Question

pls solve this question

Answer 1

ans for this problem is 1

Answer 2

Answer:

Option(A)

Step-by-step explanation:

Given Equation is x + (1/x)² = 3.

⇒ x + (1/x) = √3

On cubing both sides, we get

⇒ (x + 1/x)³ = (√3)³

⇒ x³ + (1/x³) + 3 * x * 1/x(x + 1/x) = 3√3

⇒ x³ + (1/x³) + 3(√3) = 3√3

⇒ x³ + 1/x³ = 3√3 - 3√3

⇒ x³ + 1/x³ = 0

⇒ x⁶ + 1 = 0

⇒ x⁶ = -1.

Now,

x¹⁸ + x¹² + x⁶ + 1

= x¹²(x⁶ + 1) + x⁶ + 1

= x¹²(0) + -1 + 1

= 0.

Therefore, x¹⁸ + x¹² + x⁶ + 1 = 0.

Hope it helps!