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
18
Step-by-step explanation:
Taking common from given question.
Attachments:
Answered by
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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