Решите уравнение:(x^2 + 4x)(x^2+4x-17) = -60. Created by superKitty. algebra-ru

Решите уравнение:(x^2 + 4x)(x^2+4x-17) = -60...

superKitty @superKitty

August 2022 1 5 Report

Решите уравнение:(x^2 + 4x)(x^2+4x-17) = -60

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arsenlevadniy

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$(x^2 + 4x)(x^2+4x-17) = -60,\\ 
x^2 + 4x=t, \\
t(t-17)=-60, \\
t^2-17t+60=0, \\ 
t_1=5, t_2=12; \\ 
 \left [ {{x^2 + 4x=5,} \atop {x^2 + 4x=12;} \right. \\
x^2+4x-5=0, \\ 
x_1=-5, x_2=1, \\
x^2+4x-12=0, \\ 
x_3=-6, x_4=2.$

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