Предмет: Алгебра, автор: Альманах1

√2х^2-5х+1=√х^2-2х-1 помогите

Ответы

Автор ответа: sangers1959

(√(2x²-5x+1))²=(√(x²-2x-1))²
ОДЗ: 2х²-5х+1≥0   x∈(-∞;0,22)U(2,28;+∞)
          x²-2x-1≥0      x∈(-∞;-0,41)U(2,41;+∞)    ⇒
          x∈(-∞;-0,41)U(2,41;+∞)
2x²-5x+1=x²-2x-1
x²-3x+2=0   D=1
x₁=2∉ОДЗ   x₂=1∉ОДЗ
Ответ: уравнение не имеет решения.

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