Giải các pt sau :
a) \(\sqrt{x+5}+\sqrt{x+2}+2x-1=0\)
b) \(\sqrt{5x^3-1}+\sqrt[3]{2x-2}+x-4=0\)
c) \(\sqrt[3]{x^2-1}+x=\sqrt{x^3-2}\)
d) \(\sqrt[3]{x^2}-2\sqrt[3]{x}-\left(x-4\right)\sqrt{x-7}-3x+28=0\)
Giải các pt sau:
a) \(\sqrt{x+8}+\frac{9x}{\sqrt{x+8}}-6\sqrt{x}=0\)
b) \(x^4-2x^3+\sqrt{2x^3+x^2+2}-2=0\)
c) \(3x\sqrt[3]{x+7}\left(x+\sqrt[3]{x+7}\right)=7x^3+12x^2+5x-6\)
d) \(4x^2+\left(8x-4\right)\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)
e) \(16x^2+19x+7+4\sqrt{-3x^2+5x+2}=\left(8x+2\right)\left(\sqrt{2-x}+2\sqrt{3x+1}\right)\)
f) \(\left(5x+8\right)\sqrt{2x-1}+7x\sqrt{x+3}=9x+8-\left(x+26\right)\sqrt{x-1}\)
g) \(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)
Giải PT: \(\sqrt[4]{\left(x-2\right).\left(4-x\right)}+\sqrt[4]{x-2}+\sqrt[4]{4-x}+6x\sqrt{3x\le x^3+30}\)
Giải PT: \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right).\left(x^2-3x+5\right)}=4-2x\)
Giải phương trình:
1, \(\sqrt{x-2}+\sqrt{4-x}=2x^2-5x-3\)
2, \(\sqrt[3]{x^2-1}+x=\sqrt{x^3-2}\)
3, \(\sqrt[3]{x^2}-2\sqrt[3]{x}-\left(x-4\right)\sqrt{x-7}-3x+28=0\)
giải pt:
1,\(\sqrt{x+\dfrac{3}{x}}=\dfrac{x^2+7}{2\left(x+1\right)}\)
2, \(\left(x+3\right)\sqrt{\left(4-x\right)\left(12+x\right)}=28-x\)
3, \(\sqrt{x^3-x}=2x^2-x-2\)
Giải PT sau :
\(3x\left(2+\sqrt{9x^2+3}\right)-\left(4x+1\right)\left(1+\sqrt{1+x+x^2}\right)=0\)
Giải hệ phương trình:
1, \(\left\{{}\begin{matrix}\left(17-3x\right)\sqrt{5-x}+\left(3y-14\right)\sqrt{4-y}=0\\2\sqrt{2x+y+5}+3\sqrt{3x+2y+11}=x^2+6x+13\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x\left(x+y\right)+\sqrt{x+y}=\sqrt{2y}\left(\sqrt{2y^3}+1\right)\\x^2y-5x^2+7\left(x+y\right)-4=6\sqrt[3]{xy-x+1}\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}\sqrt{x}+\sqrt[4]{32-x}-y^2+3=0\\\sqrt[4]{x}+\sqrt{32-x}+6y-24=0\end{matrix}\right.\)
giải pt sau : \(x^3-3x^2-3x+2\sqrt{\left(x+1\right)^3}=0\)