Вопрос школьника по предмету Алгебра
Сравните меньший корень уравнения х^2-6x+5=0 с большим корнем уровнения x*|x|-2x=0
Ответ учителя по предмету Алгебра
x^2-6x+5=0
д=(-6)^2-4*5=16
x1=(6+√16)/2=5
x2=(6-√16)/2=1
наименьший корень равен 1
x*|x|-2x=0
пусть |x|>0
x*x-2x=0
x(x-2)=0
x1=0
X2=2
пусть |х|<0
-х*х-2х=0
-х(х+2)=0
х3=-2
наибольший корень уравнения равен 2
1<2
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