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Sagot :
4x² + 16y² + 32x - 32y + 16 = 0
- 16 - 16
4x² + 16y² + 32x - 32y = -16
4x² + 32x + 16y² - 32y = -16
4(x² + 8x + 16) + 16(y² - 2y + 1) = -16 + 4(16) + 16(1)
4(x + 4)² + 16(y - 1)² = -16 + 64 + 16
4(x + 4)² + 16(y - 1)² = 48 + 16
4(x + 4)² + 16(y - 1)² = 64
64 64 64
(x + 4)² + (y - 1)² = 1
16 2
- 16 - 16
4x² + 16y² + 32x - 32y = -16
4x² + 32x + 16y² - 32y = -16
4(x² + 8x + 16) + 16(y² - 2y + 1) = -16 + 4(16) + 16(1)
4(x + 4)² + 16(y - 1)² = -16 + 64 + 16
4(x + 4)² + 16(y - 1)² = 48 + 16
4(x + 4)² + 16(y - 1)² = 64
64 64 64
(x + 4)² + (y - 1)² = 1
16 2
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