Tìm TXĐ: \(y=\frac{\sqrt{x+1}-\sqrt{x^2-2}}{\left(x^2-2x-3\right)\sqrt{5-x}}\)

Xét tính chẵn lẻ của:

a) \(y=\frac{x^2+2}{\sqrt[3]{x^3-x}}\)

b) \(y=\frac{1}{\sqrt[3]{x-3}+\sqrt[3]{x+3}}\)

Help mk vs ah.. =)))

giải pt

a) \(\sqrt{x+2\sqrt{x-1}}+3\sqrt{x+8-6\sqrt{x-1}}=1-x\)

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

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

d) \(\sqrt{2x-2\sqrt{2x-1}}-2\sqrt{2x+3-4\sqrt{2x-1}}+3\sqrt{2x+8-6\sqrt{2x-1}}=4\)

giải pt

a) \(2\sqrt{x+2+2\sqrt{x+1}}-\sqrt{x+1}=4\)

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

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

d) \(\sqrt{\frac{5}{4}-x^2+\sqrt{1-x^2}}+\sqrt{\frac{5}{4}-x^2-\sqrt{1-x^2}}=x+1\)

giải pt

a) \(\left|x^2-5x-4\right|=\left|x^2-4\right|\)

b) \(\left|x-1\right|+3\left|x-3\right|=6\)

c) \(\left|\frac{x^2-6x-4}{x^2-4}\right|=1\)

d) \(\left|x-1\right|-2\left|x-2\right|=x^2-x-3\)

giải pt

a) \(x+\sqrt{x+8}\left(1-\sqrt{x+8}\right)=\sqrt{x}+\sqrt{x+3}-8\)

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

c) \(\sqrt[3]{24+x}.\sqrt{12-x}-6\sqrt{12-x}=x-12\)

d) \(\frac{x-1}{2\sqrt{3-2x}-3}=\frac{x-1}{3-2\sqrt[3]{5+3x}}\)