Предмет: Математика, автор: vedeneevaliza

Кому не сложно, помогите пожалуйста)
Решите иррациональное уравнение: √11-x=x+1

Ответы

Автор ответа: AnonimusPro

возводим обе части в квадрат, но 11-x>=0, x<=11 и x+1>=0, x>=-1
значит х будет из промежутка [-1;11]
11-x=(x+1)^2
11-x=x^2+2x+1
x^2+3x-10=0
D=49
x1=-3+7/2=2
x2=-10/2=-5
(-5) не входит в указанный интервал, значит не является корнем уравнения.
Ответ: x=2

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