(x-3)^4+(x-3)^2-12=0. Created by ElbekXD. algebra-ru

(x-3)^4+(x-3)^2-12=0...

August 2022 1 10 Report

(x-3)^4+(x-3)^2-12=0

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MizoriesKun (x-3)^4+(x-3)^2-12=0 замена (x-3)²=a a≥0
a²+a-12=0
D=1+48=49
a₁=(-1+7)/2=3 (x-3)²=3 (x-3)=+/-√3 х₁= 3+√3 ; х₂= 3-√3
a₂= (-1-7)/2= -4 не подходит под ОДЗ

5 votes Thanks 8

mukus13 только при замене a>=0 должно быть )

MizoriesKun поправила ))

mukus13 спасибо )

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rozvyazhite uravniniespasibo

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