решите уравнение (х-3/х+2)^2-15=16(х+2/х-3)^2. Created by 1234554321c. algebra-ru

х-3)^2...

1234554321c @1234554321c

August 2022 1 18 Report

решите уравнение
(х-3/х+2)^2-15=16(х+2/х-3)^2

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sedinalana

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ОДЗ
x≠-2,x≠3
[(x-3)/(x+2)]²=a
a-15=16/a
a²-15a-16=0
a1+a2=15 U a1*a2=-16
a1=-1⇒[(x-3)/(x+2)]²=-1 нет решения
a2=16⇒[(x-3)/(x+2)]²=16
[(x-3)/(x+2)=-4⇒x-3=-4x-8⇒5x=-5⇒x=-1
[(x-3)/(x+2)=4⇒x-3=4x+8⇒3x=-11⇒x=-3 2/3

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