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x^2+y^2-2radical5 y + 4 radical5 x +25 = 0

Răspuns :

[tex] {x}^{2} + {y}^{2} - 2 \sqrt{5} y + 4 \sqrt{5} x + 25 = 0[/tex]

[tex] {x}^{2} + 4 \sqrt{5}x + \sqrt{5}^{2} \times {2}^{2} + {y}^{2} - 2 \sqrt{5} y + \sqrt{5} ^{2} = 0[/tex]

[tex] {(x + 2 \sqrt{5} })^{2} + (y - \sqrt{5} ) ^{2} = 0[/tex]

[tex] = > x + 2 \sqrt{5} = 0 = > x = - 2√5[/tex]

[tex] = > y - \sqrt{5} = 0 = > y = \sqrt{5} [/tex]