Предмет: Алгебра, автор: Sashalosik201

Найдите сумму корней уравнения.
|x^2+4x-5|=x-1

Ответы

Автор ответа: SkyBy
0
|x^{2}+4x-5|=x-1\\
x-1 geq 0\x geq 1\

left { {{x^{2}+4x-5=x-1} atop {x^{2}+4x-5=-x+1}} right. to  
left { {{x^{2}+3x-4=0} atop {x^{2}+5x-6=0}} right. to
left { {{x_{1}=-4;x_{2}=1} atop {x_{1}=-6;x_{2}=1}} right. to x=1

Сумма корней уравнения: 1 ( если брать единицу один раз ), 2 ( если брать единицу два раза ).
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