giải pt: a) \(\sqrt{x+1}+\sqrt{5x}=\sqrt{4x-3}+\sqrt{2x+4}\)
b) \(\left(x-1\right)\left(x+2\right)+2\sqrt[]{x^2+x+1}=0\)
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 \(\left(x+1\right)\left(2\sqrt{x^2+3}-x^2\right)+\sqrt[3]{3x^2+5}=5x+3\)
1\(\left\{{}\begin{matrix}xy\left(x+y\right)=2\\x^3+y^3+x^3y^3+7\left(x+1\right)\left(y+1\right)=31\end{matrix}\right.\)
2 giải pt \(9+3\sqrt{x\left(3-2x\right)}=7\sqrt{x}+5\sqrt{3-2x}\)
Giải phương trình: \(2.\left(x-\sqrt{2x^2+5x-3}\right)=1+x.\left(\sqrt{2x-1}-2\sqrt{x+3}\right)\)
Giải PT: \(\sqrt{x+5}+\sqrt{3-x}-2.\left(\sqrt{15-2x-x^2}+1\right)=0\)
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, \(x^3+\sqrt{\left(1-x^2\right)^3}=x\sqrt{2\left(1-x^2\right)}\)
2, \(\left(x-1\right)\left(x+3\right)+2\left(x-1\right)\sqrt{\dfrac{x+3}{x-1}}=8\)
3, \(\sqrt{5x^3-1}+\sqrt[3]{2x-1}+x-4=0\)
giải phương trình: \(x^2+\left(3-x\right)\sqrt{2x-1}=x\left(3\sqrt{2x^2-5x+2}-\sqrt{x-2}\right)\)