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Myshyak
@Myshyak
July 2022
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Задание:
Найти значение функции :
[tex]f(x)=z^4+ \frac{2+i}{z} -(-3+2i)[/tex]
При Z=1-2i
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Answers & Comments
nafanya2014
Verified answer
F(z)=(z⁴)+((2+i)/z)+3-2i
(1+2i)⁴=((1+2i)²)²=(1+4i+4i²)²=(4i-3)²=16i²-24i+9=-7-24i
(2+i)/(1-2i)=(2+i)·(1+2i)/(1+2i)(1-2i)=(2+i+4i+2i²)/(1-(2i)²)=5i/5=i
f(1-2i)=-7-24i+i+3-2i=-4-25i
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Answers & Comments
Verified answer
F(z)=(z⁴)+((2+i)/z)+3-2i(1+2i)⁴=((1+2i)²)²=(1+4i+4i²)²=(4i-3)²=16i²-24i+9=-7-24i
(2+i)/(1-2i)=(2+i)·(1+2i)/(1+2i)(1-2i)=(2+i+4i+2i²)/(1-(2i)²)=5i/5=i
f(1-2i)=-7-24i+i+3-2i=-4-25i