gpt:\(6+\sqrt{x+6}=2x+3\sqrt{x-2}\)
Gpt
\(x^2-3x-6+\sqrt{x^2-3}=0\)
\(\sqrt[3]{24+x}+\sqrt{12-x}=6\)
GPT:
\(\sqrt{x^2-x+19}+\sqrt{7x^2+8x+13}+\sqrt{13x^2+17x+7}-3\sqrt{3}x=6\sqrt{3}\)
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: \(\left\{{}\begin{matrix}x^2-y-z=0\\x^3-y^2-z^2+2=0\end{matrix}\right.\)
Giải pt
1)x+y+z+8=\(2\sqrt{x-1}\)+\(4\sqrt{y-2}\)+\(6\sqrt{z-3}\)
2)\(\sqrt{x}+\sqrt{x+1}=1\)
3)\(\left(1+\sqrt{x^2+2017+2016}\right)\)\(\left(\sqrt{2016+x}-\sqrt{x+1}\right)\)=2015
gpt ( đặt ẩn phụ không hoàn toàn)
9, \(2\sqrt{1-x}+\sqrt{x+1}+3\sqrt{1-x^2}=3-x\)
10, \(4\sqrt{1-x}+3\sqrt{1-x^2}=x+6+5\sqrt{1+x}\).
\(6+3\sqrt{x-2}=2x+\sqrt{x+6}\)
GPT
Giải phương trình:
1) \(4x+2+\sqrt{1-x}-\sqrt{2+x}=0\)
2) \(\sqrt{x+3}+\sqrt{6-x}-\sqrt{\left(x+3\right)\left(6-x\right)}=\frac{6\sqrt{2}-9}{2}\)
3) \(\sqrt[3]{x+\frac{1}{2}}+\sqrt{\frac{1}{2}-x}=1\)
4) \(x^4+\sqrt{x^2+2016}=2016\)
5) \(\frac{x^2+12x+4}{x+2}=6\sqrt{x}\)
6) \(^{x^4=24x+32}\)
7) \(\sqrt[3]{x+1}+\sqrt{x+1}=\sqrt[3]{x-1}\)
gpt:
\(3\left(x^2-3x+1\right)+\sqrt{3\left(x^4+x^2+1\right)}=0\)
\(\sqrt[3]{x^3+5x^2}-1=\sqrt{\frac{5x^2-2}{6}}\)
