Предмет: Алгебра, автор: Seperawar

Разложить на множетели многочлен x^4+4

Ответы

Автор ответа: Эксперт5

$x^4+4=?\D=0^2-4*1*4=-16=(4i)^2\x_1=2i\x_2=-2i\\x^4+4=(x^2-2i)(x^2-(-2i)=(x^2-2i)(x^2+2i)$

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