\(x\sqrt{2}-x\sqrt{18}=\sqrt{27}-\sqrt{18}\Leftrightarrow x\sqrt{2}\left(1-3\right)=3\sqrt{3}-3\sqrt{2}\Leftrightarrow-2x\sqrt{2}=3\left(\sqrt{3}-\sqrt{2}\right)\)
\(\Leftrightarrow x=\frac{-3\left(\sqrt{3}-\sqrt{2}\right)}{2\sqrt{2}}\)
Tìm x biết: \(x\sqrt{2}+\sqrt{18}=x\sqrt{18}+\sqrt{27}\)
Tìm x : \(x\sqrt{12}+\sqrt{18}=x\sqrt{8}+\sqrt{27}\)
Cho \(P=\left(\dfrac{x+3}{x-9}+\dfrac{1}{\sqrt{x}+3}\right):\dfrac{\sqrt{x}}{\sqrt{x}-3}\)
a, Rút gọn P
b, Tính P khi \(x=\sqrt{27+10\sqrt{2}}-\sqrt{18+8\sqrt{2}}\)
Tìm x không am biết
a) \(\sqrt{x}\)=21
b) 3\(\sqrt{x}\)=18
c) \(\sqrt{x}\) < hoặc = \(\sqrt{5}\)
d) 3\(\sqrt{2x}\)>9
Bài 5. Giải phương trình sau: 3\(\sqrt{x+2}\)+5\(\sqrt{x+18}\) =x+27
\(x\sqrt{18}-\sqrt{18}=x\sqrt{18}+4\sqrt{2}\)
a \(\sqrt{4x-20}+\sqrt{x-5}-\dfrac{1}{3}\sqrt{9x-45}=4\)
b \(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25}=4\)
c \(\dfrac{1}{3}\sqrt{x-2}-\dfrac{2}{3}\sqrt{9x-18}+6\sqrt{\dfrac{x-2}{81}=-4}\)
d \(\sqrt{9x+27}+4\sqrt{x+3}-\dfrac{3}{4}\sqrt{16x+48}=0\)
Tìm x:
\(\sqrt{x^2-6x+10}+\sqrt{x^2-6x+18}+\sqrt{x^2-6x+12}=4+\sqrt{3}\)
tìm x:\(\sqrt{2-x}\)-\(\sqrt{18-9x}\)+\(\sqrt{32-16x}\)=16
