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9x² - 4y² - 18x - 24y - 27 = 0
9x² - 18x - 4y² - 24y = 27
9(x² - 2x) - 4(y² + 6y) = 27
9(x² - 2x + 1²) - 4(y² + 6y + 3²) = 27 + (9)(1) - (4)(9)
9(x - 1)² - 4(y + 3)² = 0
no se trata de una hipérbola 3. Analice la siguiente ecuación 2x2 + 2y2 – x = 0. Determine: a. Centro b. Radio 2x² + 2y² - x = 0
x² + y² - x/2 = 0
x² - x/2 + y² = 0
x² - x/2 + (1/4)² + y² = (1/4)²
(x - 1/4)² + y² = (1/4)²
la ecuación de la circunferencia
(x - h)² + (y - k)² = r²
centro ⇒ (1/4, 0)
r = radio ⇒ 1/4
saludo
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