Tentukan pusat dan jarijari X^2-2X + Y^2 + 6Y = -6
Matematika
arifnovrijal
Pertanyaan
Tentukan pusat dan jarijari X^2-2X + Y^2 + 6Y = -6
1 Jawaban
-
1. Jawaban excarte
[tex] {x}^{2} - 2x + {y}^{2} + 6y = - 6 \\ {x}^{2} - 2x + 1 + {y}^{2} + 6y + 9 = - 6 + 1 + 9 \\ {(x - 1)}^{2} + {(y + 3)}^{2} = 4 \\ {(x - 1)}^{2} + {(y + 3)}^{2} = {2}^{2} [/tex]
didapat koordinat pusat = (1,-3), jari-jari = 2