giải pt

a) \(2\sqrt{\frac{x}{x-1}}-\sqrt{\frac{x-1}{x}}=\frac{5x-2}{x}\)

b) \(3\sqrt{\frac{2x}{x-1}}+4\sqrt{\frac{x-1}{2x}}=\frac{5x-3}{2x}+9\)

c) \(\sqrt{\frac{x}{3-2x}}+5\sqrt{\frac{3-2x}{x}}=\frac{12-9x}{x}+6\)

d) \(\frac{x-1}{x}-2\sqrt{\frac{x-1}{x}}=3\)

e) \(\sqrt{\frac{x}{x-1}}+\sqrt{\frac{x-1}{x}}=\frac{3}{\sqrt{2}}\)

f) \(\sqrt{x-\frac{1}{x}}=\frac{1}{\sqrt{x}}-\sqrt{x}\)

Giải pt

a) \(2x^2+\sqrt{x^2-5x-6}=10x+15\)

b) \(5\sqrt{3x^2-4x-2}-6x^2+8x+7=0\)

c) \(x^2+\sqrt{2x^2+4x+3}=6-2x\)

d) \(2\sqrt{\frac{3x-1}{x}}=\frac{x}{3x-1}+1\)

e) \(\sqrt{\frac{24x-4}{x}}=\frac{x}{6x-1}+1\)

f) \(\sqrt{\frac{2x-1}{x}}+1+\sqrt{\frac{x}{2x-1}}=\frac{3x}{2x-1}\)

giải pt

a) \(\sqrt{2x^2+5x+2}-2\sqrt{2x^2+5x-6}=0\)

b) \(\sqrt[5]{\frac{16x}{x-1}}+\sqrt[5]{\frac{x-1}{16x}}=\frac{5}{2}\)

c) \(\sqrt{6x^2-12x+7}+2x=x^2\)

d) \(x\left(x+1\right)-\sqrt{x^2+x+4}+2=0\)

e) \(\sqrt{3x^2+6x+4}=2-2x-x^2\)