giải pt

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

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

c) \(\sqrt{x^2+3x+2}+\sqrt{x^2+6x+5}=\sqrt{2x^2+9x+7}\)

d) \(\sqrt{x^2-1}-\sqrt{x^2+3}+\sqrt{5-x}=0\)

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

giải pt

a) \(\sqrt{x^2+2}+\sqrt{x^2+7}=\sqrt{x^2+x+3}+\sqrt{x^2+x+8}\)

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

c) \(\sqrt{10x+1}+\sqrt{3x-5}=\sqrt{9x+4}+\sqrt{2x-2}\)

d) \(\sqrt{x+7}+\sqrt{4x+1}=\sqrt{5x+6}+2\sqrt{2x+3}\)

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

giải pt

a) \(x^2+2x+\left(x-2\right)\sqrt{x^2+2x-6}=6\)

b) \(x^3-7x\sqrt{x^2-x+2}=8-14\sqrt{x^2+2x-2}\)

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

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

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

giải pt

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

b) \(x^2+x-12-\left(x-3\right)\sqrt{10-x^2}=0\)

c) \(\sqrt{6+x-x^2}=\frac{\left(2x+5\right)\sqrt{6+x-x^2}}{x+4}\)

d) \(\sqrt{\frac{12+x-x^2}{2x+9}}-\frac{\sqrt{12+x-x^2}}{x+3}=0\)

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

giai pt:

a) \(\frac{3x+\sqrt{x^2-x-1}}{x+1}=\frac{7}{3}\)

b) \(\frac{2}{2\sqrt{x^2-2x+1}}=\frac{1}{x-1}\)

c) \(\frac{6}{6-\sqrt{x}}+\frac{1}{\sqrt{x}}=1\)

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

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

f) \(\sqrt{x^3+x^2+6x+28}=x+5\)

g) \(\sqrt{x^4-4x^3+14x-11}=1-x\)