giải pt :

a,\(\sqrt{x+14\sqrt{14x-49}}+\sqrt{x-14\sqrt{14x-49}}=\sqrt{14}\)

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

giải pt :

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

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

c, \(\sqrt{4x^2+x+6}=4x-2+7\sqrt{x+1}\)

d, \(\sqrt{x-2}-\sqrt{x+2}=2\sqrt{x^2-4}-2x+2\)

giải pt :

a, (x+5)(2-x)=3\(\sqrt{x^2+3x}\)

b, \(\sqrt[3]{\dfrac{2x}{x+1}}+\sqrt[3]{\dfrac{1}{2}+\dfrac{1}{2x}}=2\)

c,\(\sqrt[5]{\dfrac{16x}{x-1}}+\sqrt[5]{\dfrac{x-1}{16x}}=\dfrac{5}{2}\)

d, \(\sqrt{5x^2+10x+1}=7-2x-x^2\)

e, \(\sqrt{2x^2+4x+1}=1-2x-x^2\)

giải pt :

a, \(729x^4+8\sqrt{1-x^2}=36\)

b, \(3x^2-12x-5\sqrt{10+4x-x^2}+12=0\)

giải pt:

a, \(2x^2-6x-1=\sqrt{4x+5}\)

b, \(18x^2+6x-29=\sqrt{12x+61}\)

c, \(4x^2-13x+5+\sqrt{3x+1}=0\)

c, \(4x^2-13x+5+\sqrt{3x+1}=0\)

giải pt:

a, \(\sqrt[3]{64-5x}+\sqrt[3]{18+5x}=4\)

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

c, \(x^2-2x-3=\sqrt{x+3}\)