\(\left\{{}\begin{matrix}x\ge8\\x-\sqrt{x-8}-3\sqrt{x}+1=0\end{matrix}\right.\)
\(\left(1-\sqrt{x-8}\right)+\left(x-3\sqrt{x}\right)=0\)
\(\dfrac{9-x}{1+\sqrt{x-8}}+\dfrac{x^2-9x}{x+3\sqrt{x}}=0\)
\(\left(9-x\right)\left(\dfrac{1}{1+\sqrt{x-8}}+\dfrac{x}{x+3\sqrt{x}}\right)=0\)
x>=8 => x =9 là duy nhất
Giải pt
\(x-\sqrt{x-8}-3\sqrt{x}+1=0\)
Giải PT :\(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
Giải PT: \(\sqrt{x+5}+\sqrt{3-x}-2.\left(\sqrt{15-2x-x^2}+1\right)=0\)
giải pt :
a) \(\sqrt{x-1}+\sqrt{x^3+x^2+x+1}=1+\sqrt{x^4-1}\)
b0 \(4\sqrt{x+1}=x^2-5x+14\)
c) \(2x+3\sqrt{4-5x}+\sqrt{x+2}=8\)
d) \(\dfrac{x^2+x}{\sqrt{x^2+x+1}}=\dfrac{2-x}{\sqrt{x-1}}\)
Giải pt: \(\left(3\sqrt{x}+\sqrt{x+8}\right)\left(4+3\sqrt{x^2+8x}\right)=16\left(x-1\right)\)
giải pt
\(x\sqrt{x+\sqrt{3}}=\sqrt{\frac{8}{3\sqrt{3}}-x}\)
giải pt \(\sqrt{x}-\sqrt{x-1}-\sqrt{x-4}+\sqrt{x-9}=0\)
giải pt \(\sqrt{2}\left(x^2+8\right)=5\sqrt{x^3+8}\)
Giải pt:
\(\sqrt{x-1}+\sqrt{x+7}+x^2-3x-2=0\)
