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AttackerOff
@AttackerOff
August 2022
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Помогите решить , комплексные числа(Уравнение).
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IrkaShevko
Verified answer
D = (4+3i)² - 4(1+5i) = 16 + 24i - 9 - 4 - 20i = 3 + 4i = 4 + 4i + i² = (i+2)²
z₁ = (4+3i - i - 2)/2 = (2i + 2)/2 = 1 + i
z₂ = (4 + 3i + i + 2)/2 = (6 + 4i)/2 = 3 + 2i
Ответ: 3 + 2i; 1 + i
1 votes
Thanks 1
AttackerOff
Можно, пожалуйста,объяснить вот это действие - ( 3 + 4i = 4 + 4i + i² = (i+2)²)
IrkaShevko
3 = 4 - 1 = 4 + (-1) = 4 + i^2
IrkaShevko
2^2 + 2*2*i + i^2 = (2 + i)^2
AttackerOff
спасибо
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Answers & Comments
Verified answer
D = (4+3i)² - 4(1+5i) = 16 + 24i - 9 - 4 - 20i = 3 + 4i = 4 + 4i + i² = (i+2)²z₁ = (4+3i - i - 2)/2 = (2i + 2)/2 = 1 + i
z₂ = (4 + 3i + i + 2)/2 = (6 + 4i)/2 = 3 + 2i
Ответ: 3 + 2i; 1 + i