Доможіть розкласти на множники (Розпишіть детально): 4(а-2с)^2-4(a-2c)+1. Created by 55508. algebra-ru

Пусть (а-2с)=t, тогда:C учетом замены t=(a-2c):

Доможіть розкласти на множники (Розпишіть детально): 4(а-2с)^2-4(a-2c)+1...

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Доможіть розкласти на множники (Розпишіть детально): 4(а-2с)^2-4(a-2c)+1

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Valtera Пусть (а-2с)=t, тогда: $4t^2-4t+1=0, D=16-16=0. \\ t_{1,2} = \frac{4}{8} =0,5 \\ 4t^2-4+1=4(t-0,5)^2$
C учетом замены t=(a-2c):
$4(t-0,5)^2=4(a-2c-0,5)^2$

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