x + y + x + 4 = 2√x−2 + 4√y−3 + 6√z−5
⇒x - 2\(\sqrt{x-2}\) +y - 4\(\sqrt{y-3}\) +z - 6\(\sqrt{z-5}\) +4=0
⇒(x - 2 -1. 2\(\sqrt{x-2}\) +1) + (y -3 - 2.2\(\sqrt{y-3}\) +4 ) +(z - 5 - 2.3.\(\sqrt{z-5}\) +9) =0
⇒ (\(\sqrt{x-2}\) -1)2+ (\(\sqrt{y-3}\) -2)2+(\(\sqrt{z-5}\) -3)2 =0
⇒\(\left\{{}\begin{matrix}\sqrt{x-2}-1=0\\\sqrt{y-3}-2=0\\\sqrt{z-5}-3=0\end{matrix}\right.\) ⇒ \(\left\{{}\begin{matrix}x-2=1\\y-3=2\\x-5=3\end{matrix}\right.\) ⇒ \(\left\{{}\begin{matrix}x=3\\y=5\\z=8\end{matrix}\right.\)
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