Math, asked by shyam3048202, 23 days ago

1. If x2 + x + 1 = 0, then what is the value
x199+x200+x201
(a) -1
(b) 0
(c) 1
(d) 3​
help me plz

Answers

Answered by guptasudha3478
18

Step-by-step explanation:

Taking common from given question.

Attachments:
Answered by Hansika4871
4

Given:

An equation x² + x + 1 = 0.

To Find:

The value of (x ^199 + x^200 + x^201) using the above equation.

Solution:

1. The given equation is x² + x + 1 = 0.

2. The value for the equation x ^199 + x^200 + x^201 should be calculated.

3. The equation x ^199 + x^200 + x^201 can be also written as,

=> x ^199 + x^200 + x^201, (Taking x^199 common from all the terms).

=> x^199 ( 1 + x + x²),

The value of 1 + x + x² is 0. (Given). Substitute the value in the above equation.

=> x ^ 199 ( 0 ) ,

=> 0.

Therefore, the value of x^199 + x^200 + x^201 is 0. Option B is the correct answer.

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