Odpowiedź:
Szczegółowe wyjaśnienie:
[tex]x^2+y^2+2x-10y-7= x^2 + 2x +y^2 -10y - 7 = \\(x+1)^2 - 1 + (y - 5)^2 - 25 - 7 = \\ (x+1)^2 - 1 + (y - 5)^2 - 25 - 7 = \\(x+1)^2 +(y-5)^2 -33\\[/tex]
[tex](x+1)^2 +(y-5)^2 -33 = 0\\(x+1)^2 +(y-5)^2 = (\sqrt{33})^2[/tex]
Wiec srodek okregu O = (-1,5) a promien = [tex]\sqrt{33}.[/tex]
[tex]x^2+y^2-6x-y+1/4= (x-3)^2 - 9 +(y-1/2)^2 -1/4 +1/4 = \\(x-3)^2 + (y-1/2)^2 - 9\\\\(x-3)^2 + (y-1/2)^2 - 9 = 0\\(x-3)^2 + (y-1/2)^2 = 3^2[/tex]
Wiec srodek okregu O = (3, 1/2) a promien = 3.
