Предмет: Алгебра, автор: alekseevalari1971

X²(8-x²)+9=0 помогите решить пожалуйста

Ответы

Автор ответа: Pelmeshka83

Объяснение:

${x}^{2} (8 - {x}^{2} ) + 9 = 0 \\ lets \: {x}^{2} =y \\ y(8 - y) + 9 = 0 \\- {y}^{2} +8y + 9 = 0 \\ \\ y1y2 = - 9 \\ y1 + y2 = 8 \\ \\ y1 = 9 \\ y2 = - 1 \\ \\ {x1}^{2} = 9 \\ {x2}^{2} = - 1 \\ \\ x = 3 \\ x = - 3$

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