Giải phương trình:

\(\frac{2\left(x-\sqrt{3}\right)\left(x-\sqrt{2}\right)}{\left(1-\sqrt{2}\right)\left(1-\sqrt{3}\right)}+\frac{3\left(x-1\right)\left(x-\sqrt{3}\right)}{\left(\sqrt{2}-1\right)\left(\sqrt{2}-\sqrt{3}\right)}+\frac{4\left(x-1\right)\left(x-\sqrt{2}\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}-\sqrt{2}\right)}=3x-1\)

giải pt :

a, \(\sqrt[3]{2-x}=1-\sqrt{x-1}\)

b, \(2\sqrt[3]{3x-2}+3\sqrt{6-5x}-8=0\)

c, \(\left(x+3\right)\sqrt{-x^2-8x+48}=x-24\)

d, \(\sqrt[3]{\left(2-x\right)^2}+\sqrt[3]{\left(7+x\right)\left(2-x\right)}=3\)

e, \(\dfrac{\sqrt[3]{7-x}-\sqrt[3]{x-5}}{\sqrt[3]{7-x}+\sqrt[3]{x-5}}=6-x\)

Giải phương trình \(\dfrac{3\left(x-\sqrt{3}\right)\left(x-\sqrt{5}\right)}{\left(1-\sqrt{3}\right)\left(1-\sqrt{5}\right)}+\dfrac{4\left(x-1\right)\left(x-\sqrt{5}\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}-\sqrt{5}\right)}+\dfrac{5\left(x-1\right)\left(x-\sqrt{3}\right)}{\left(\sqrt{5}-1\right)\left(\sqrt{5}-\sqrt{3}\right)}=3x-2\)

Giải phương trình: 

a) \(5x^2-10x=4\left(x-1\right)\sqrt{x^2-2x+2}\)

b) \(\sqrt{2x^2+22x+29}-x-2=2\sqrt{2x+3}\)

c) \(x^3-7x^2+9x+12=\left(x-3\right)\left(x-2+5\sqrt{x-3}\right)\left(\sqrt{x-3}-1\right)\)

Giải phương trình: 

\(11\sqrt{5-x}+8\sqrt{2x-1}=24+3\sqrt{\left(5-x\right)\left(2x-1\right)}\)

\(\sqrt{x+3}+2\sqrt{x}=2+\sqrt{x\left(x+3\right)}\)

giải phương trình :

\(9\left(\sqrt{x+1}+\sqrt{x-2}\right)+1=4\left(\sqrt{\left(x+1\right)^3}-\sqrt{\left(x-2\right)^3}\right)\)

Giải phương trình sau:

a) \(\sqrt{4x+20}-3\sqrt{5+x}+\dfrac{4}{3}\sqrt{9x+45}=6\)

b) \(\dfrac{1}{2}\sqrt{x-1}-\dfrac{3}{2}\sqrt{9x-9}+24\sqrt{\dfrac{x-1}{64}}=-17\)

c) \(2x-x^2+\sqrt{6x^2-12x+7}=0\)

d) \(\left(x+1\right)\left(x+4\right)-3\sqrt{x^2+5x+2}=6\)