2) x la 2 + y la 2 - 6radical3x+ 4radical5y + 47=0
x^2 + y^2 -6√3x +4√5y +47 = 0
[tex]\it x^2+y^2-6\sqrt3x+4\sqrt5y+47=0
\\\;\\
(x^2 -6\sqrt3x+27) + (y^2+4\sqrt5y+20 )=0
\\\;\\
(x^2 -2\cdot3\sqrt3x+(3\sqrt3)^2) + (y^2+2\cdot2\sqrt5y+(2\sqrt5)^2 )=0
[/tex]
[tex]\it (x-3\sqrt3)^2 + (y+2\sqrt5)^2=0 \Rightarrow \begin{cases} \it x-3\sqrt3=0\Rightarrow x = 3\sqrt3
\\ \\
\it y+2\sqrt5=0 \Rightarrow y= -2\sqrt5 \end{cases}[/tex]
