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Влада888
@Влада888
July 2022
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решите уравнение
z^5-z^3+z^2-1=0
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m11m
Verified answer
Z⁵-z³+z²-1=0
(z⁵-z³)+(z²-1)=0
z³(z²-1)+(z²-1)=0
(z²-1)(z³+1)=0
z²-1=0 z³+1=0
(z-1)(z+1)=0 z³=-1
z-1=0 z+1=0 z=-1
z=1 z=-1
Ответ: -1; 1.
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Answers & Comments
Verified answer
Z⁵-z³+z²-1=0(z⁵-z³)+(z²-1)=0
z³(z²-1)+(z²-1)=0
(z²-1)(z³+1)=0
z²-1=0 z³+1=0
(z-1)(z+1)=0 z³=-1
z-1=0 z+1=0 z=-1
z=1 z=-1
Ответ: -1; 1.