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dnepr1

Дано уравнение: x² +y² + 6x +8y +1 = 0.

Выделяем полные квадраты.

(x² + (2*3)x +9) - 9 + (y² +(2*4)y + 16) - 16 +1 = 0.

(х + 3)² + (у + 4)² = 24.

Это уравнение окружности с центром в точке (-3; -4) и радиусом √24 = 2√6.

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