Ответ:
[tex]\sqrt{20}[/tex]
Объяснение:
[tex]x^2+4x+y^2-6y-7=0[/tex]
[tex]x^2+4x+4-4+y^2-6y+9-9-7=0[/tex]
[tex](x^2+4x+4)+(y^2-6y+9)+(-4-9-7)=0[/tex]
[tex](x^2+2*x*2+2^2)+(y^2-2*y*3+3^2)-20=0[/tex]
[tex](x+2)^2+(y-3)^2=(\sqrt{20})^2[/tex]
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
=>
[tex]R=\sqrt{20}[/tex]
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Answers & Comments
Ответ:
[tex]\sqrt{20}[/tex]
Объяснение:
[tex]x^2+4x+y^2-6y-7=0[/tex]
[tex]x^2+4x+4-4+y^2-6y+9-9-7=0[/tex]
[tex](x^2+4x+4)+(y^2-6y+9)+(-4-9-7)=0[/tex]
[tex](x^2+2*x*2+2^2)+(y^2-2*y*3+3^2)-20=0[/tex]
[tex](x+2)^2+(y-3)^2=(\sqrt{20})^2[/tex]
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
=>
[tex]R=\sqrt{20}[/tex]