Question

1. If x2 + x + 1 = 0, then what is the value of x199 + x 200 x 200 + x 2017 + (a) -1 () (b) 0 (c) 1 (d) 3​

Answer 1

Answer:

( B ) 0

x² + x + 1 = 0 ----(i)

Calculation:

We have x² + x + 1 = 0

We have to find the value of x¹⁹⁹ + x²⁰⁰ + x²⁰¹

⇒ x¹⁹⁹ (1 + x + x²)

From (i), we get

⇒ x¹⁹⁹ × 0

⇒ 0

∴ The value of x¹⁹⁹ + x²⁰⁰ + x²⁰¹ is 0.

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Answer 2

∴ The value of x199 + x200 + x201  is 0.

Answer is option B)0

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