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stiklin
@stiklin
August 2022
1
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Решите уравнение
1) 1 + x + x² + ... + x⁹ = 0
2) 1 + x + x² + ... + x¹⁰ = 0
Если а - первый член, q - знаменатель бесконечно убывающей геометрической прогрессии {an}, то найдите сумму:
a₁³ + a₂³ + a₃³ + ...
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veretenni
1) 1 + x + x² + ... + x⁹ = 0
1+0+x+x
²+x=0
1+x+x²+x=0
1+2x+x²=0
x²+2x+1=0
D=b² -4ac=2²-4*1*1=0
x₁.₂=-b/2a=-2/2*1=-1
ответ:x=-1
2) 1 + x + x² + ... + x¹⁰ = 0
1+0+x+x²+x^10=0
1+x+x²+x^10=0
x^10+x²+x+1=0
(x^5)²+(x+1/2)²+3/4=0
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Answers & Comments
1+0+x+x²+x=0
1+x+x²+x=0
1+2x+x²=0
x²+2x+1=0
D=b² -4ac=2²-4*1*1=0
x₁.₂=-b/2a=-2/2*1=-1
ответ:x=-1
2) 1 + x + x² + ... + x¹⁰ = 0
1+0+x+x²+x^10=0
1+x+x²+x^10=0
x^10+x²+x+1=0
(x^5)²+(x+1/2)²+3/4=0