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timurganiev201
@timurganiev201
August 2022
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Решите уравнение
x^3 - x^2 + 2x - 8 = 0
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mathgenius
Verified answer
(x^3-8) - x*(x-2)=0(x-2)*(x^2+2x+4) -(x-2)*x=0(x-2)*(x^2+x+4)=0x=2x^2+x+4=0D=-15<0Ответ:x=2
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timurganiev201
Спасибо большое!
timurganiev201
Я просто затупил.
ник2676
X^3-2^2-x^2+2x=0. (x-2)×(x^2+2x+4)-x(x-2)=0; (x-2)×(x^2+2x+4-x)=0;(x-2)×(x^2+x+4)=0: (x-2)=0; x=2. x^2 +x +4=0; D=1-16=-15<0, нет решения. Ответ: x=2.
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Answers & Comments
Verified answer
(x^3-8) - x*(x-2)=0(x-2)*(x^2+2x+4) -(x-2)*x=0(x-2)*(x^2+x+4)=0x=2x^2+x+4=0D=-15<0Ответ:x=2