x(x-2)(x-3)(x-5)=72 Решите уравнение. Created by tea74. algebra-ru

x(x-2)(x-3)(x-5)=72 Решите уравнение...

tea74 @tea74

July 2022 1 47 Report

x(x-2)(x-3)(x-5)=72
Решите уравнение

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sedinalana

Verified answer

(x²-5x)(x²-5x+6)=72
x²-5x=a
a(a+6)-72=0
a²+6a-72=0
a1+a2=-6 U a1*a2=-72
a1=-12⇒x²-5x=-12
x²-5x+12=0
D=25-48=-23<0 нет решения
a2=6⇒x²-5x=6
x²-5x-6=0
x1+x2=5 u x1*x2=-6
x1=-1 U x2=6

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