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ElinGrey
@ElinGrey
July 2022
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Помогите, прошу.
0,5z в пятой степени +z⁴+z+2=0
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nelle987
Verified answer
Z^5 / 2 + z^4 + z + 2 = 0
z^5 + 2z^4 + 2z + 4 = 0
(z^5 + 2z) + (2z^4 + 4) = 0
z(z^4 + 2) + 2(z^4 + 2) = 0
(z + 2)(z^4 + 2) = 0
z + 2 = 0 или z^4 + 2 = 0
У первого решение z = -2, у второго корней нет.
Ответ. z = -2.
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Answers & Comments
Verified answer
Z^5 / 2 + z^4 + z + 2 = 0z^5 + 2z^4 + 2z + 4 = 0
(z^5 + 2z) + (2z^4 + 4) = 0
z(z^4 + 2) + 2(z^4 + 2) = 0
(z + 2)(z^4 + 2) = 0
z + 2 = 0 или z^4 + 2 = 0
У первого решение z = -2, у второго корней нет.
Ответ. z = -2.