\(x\sqrt{x}-7\sqrt{x}-6=0\)
\(\Leftrightarrow\left(x-7\right)\sqrt{x}-6=0\)
\(\Leftrightarrow\left(\sqrt{x}-3\right)\left(\sqrt{x+1}\right)\left(\sqrt{x+2}\right)=0\)
Loại \(\sqrt{x}=-1;-2\)
\(\sqrt{x}-3=0\Rightarrow\sqrt{x}=3\Leftrightarrow x=9\)
1.Gpt: \(\dfrac{6}{x-3\sqrt{x-2}+7}=\dfrac{1}{\sqrt{x-2}}+\dfrac{\sqrt{3}}{3\sqrt{2\sqrt{x-2}}-3}\)
2.Ghpt: \(\left\{{}\begin{matrix}x^2-y-z=0\\x^3-y^2-z^2+2=0\end{matrix}\right.\)
Gpt
\(x^2-3x-6+\sqrt{x^2-3}=0\)
\(\sqrt[3]{24+x}+\sqrt{12-x}=6\)
Gpt: \(\sqrt{x+5}+\sqrt{3-x}-2\left(\sqrt{15-2x-x^2}+1\right)=0\)
Gpt: \(x^2+2\sqrt{x-1}-2x\sqrt{2-x}+1=0\)
GPT: \(x^2-\frac{\sqrt{5}}{\sqrt{5}-2}\cdot x-\left(6-2\sqrt{5}\right)=0\)
GPT\(\sqrt{x^2-x-6}+x^2-x-18=0\)
GPT
a) \(\sqrt{5x}-\sqrt{20x}+\sqrt{180x}-15=0\)
b) \(\frac{1}{2}\sqrt{x-1}-\frac{3}{2}\sqrt{9x-9}+24\sqrt{\frac{x-1}{64}=-17}\)
c)\(x-7\sqrt{x-3}+9=0\)
d) \(-5x+7\sqrt{x}+12=0\)
\(x^2-2x-x\sqrt{x}-2\sqrt{x}+4=0\)GPT
GPT: \(\sqrt{3x+1}-\sqrt{6-x}+3x^2-14x-8=0\)
