Предмет: Алгебра, автор: kashanskayaa

Розв’язати рівняння:
2(x-1)²-5(x-1)(x-2)+2(x-2)²=0.

Ответы

Автор ответа: GreatFilter
1
2(x-1)²-5(x-1)(x-2)+2(x-2)²=0.
2(x²-2x+1)-5(x²-x-2x+2)+2(x²-4x+4)²=0.
2x²-4x+2-5x²+15x-10+2x²-8x+8=0
-x²+3x=0
x(-x+3)=0

x₁=0
3-x=0

x₁=0
x₂=3

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