Giải các phương trình sau: (hệ phương trình)

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

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

3. \(x^2+\sqrt{x^2+11}=31\)

4. \(\frac{2+\sqrt{x}}{\sqrt{2}+\sqrt{2+\sqrt{x}}}+\frac{2-\sqrt{x}}{\sqrt{2}-\sqrt{2-\sqrt{x}}}=\sqrt{2}\)

5.\(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)

6. \(\sqrt{2x^2+5x+2}-2\sqrt{2x^2+5x-6}=1\)

Làm được 3 hoặc trên 3 câu thì mik tick nha :)

1,\(\sqrt{x-5}+\sqrt{x+4}=3\)

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

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

4,\(\sqrt{15-x}+\sqrt{3-x}=6\)

5,\(\sqrt{10-x}+\sqrt{x+3}=5\)

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

7,\(\sqrt{x+6-4\sqrt{x+2}}+\sqrt{x+11-6\sqrt{x+2}}=1\)

8,\(\sqrt{x^2-5x+6}+\sqrt{x-2-3\sqrt{x-3}}=3\)

9,\(2x^2-x+4=2\sqrt{2x+3}\)

Giải phương trình vô tỉ:

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

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

c) \(\sqrt{7x+7}+\sqrt{7x-6}+2\sqrt{49x^2+7x-42}=181-4x\)

d) \(\frac{\sqrt{x+4}+\sqrt{x-4}}{2}=x+\sqrt{x^2-16}-6\)

e) \(5\sqrt{x}+\frac{5}{2\sqrt{x}}=2x+\frac{1}{2x}+4\)

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

1)\(7\sqrt{3x-7}+\left(4x-7\right)\sqrt{7-x}=32\)

2)\(4x^2-11x+6=\left(x-1\right)\sqrt{2x^2-6x+6}\)

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

4)\(\sqrt{2x^2+4x+7}=x^4+4x^3+3x^2-2x-7\)

5)\(\frac{6-2x}{\sqrt{5-x}}+\frac{6+2x}{\sqrt{5+x}}=\frac{8}{3}\)

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

7)\(\sqrt{7x+7}+\sqrt{7x-6}+2\sqrt{49x^2+7x-42}=181-14x\)

Giải các pt sau:

a) \(\sqrt{x+8}+\frac{9x}{\sqrt{x+8}}-6\sqrt{x}=0\)

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

c) \(3x\sqrt[3]{x+7}\left(x+\sqrt[3]{x+7}\right)=7x^3+12x^2+5x-6\)

d) \(4x^2+\left(8x-4\right)\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)

e) \(16x^2+19x+7+4\sqrt{-3x^2+5x+2}=\left(8x+2\right)\left(\sqrt{2-x}+2\sqrt{3x+1}\right)\)

f) \(\left(5x+8\right)\sqrt{2x-1}+7x\sqrt{x+3}=9x+8-\left(x+26\right)\sqrt{x-1}\)

g) \(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)

ae gải hộ mk cái: giải phương trình

1: \(\sqrt{2x^2+x+6}+\sqrt{x^2+x+2}=\frac{x^2+4}{x}\)

2: \(\sqrt{x+3}-\sqrt{1-x}=1+x\)

3: \(\sqrt{x-2}+\sqrt{4-x}=2x^2-5x-1\)

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

5:\(\sqrt{3x^2-7x+3}-\sqrt{x^2-2}=\sqrt{3x^2-5x-1}\)

6:\(\sqrt{\frac{42}{5-x}}+\sqrt{\frac{60}{7-x}}=6\)

7:\(\sqrt{x+\frac{3}{x}}=\frac{x^2+7}{2\left(x+1\right)}\)

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

b)\(x^2+x+12\sqrt{x+1}=36\)

c)\(3x-1+\frac{x-1}{4x}=\sqrt{3x+1}\)

d)\(\sqrt{x^2+12}-3x=\sqrt{x^2+5}-5\)

e)\(4x^2+12+\sqrt{x-1}=4\left(x\sqrt{5x-1}+\sqrt{9-5x}\right)\)

f)\(4x^3-25x^2+43x+x\sqrt{3x-2}=22+\sqrt{3x-2}\)

g)\(2\left(x+1\right)\sqrt{x}+\sqrt{3\left(2x^3+5x^2+4x+1\right)}=5x^3-3x^2+8\)

h)\(\sqrt{x^2+12}-\sqrt{x^2+5}=3x-5\)

i)\(\sqrt{1-3x}-\sqrt[3]{3x-1}=\left|6x-2\right|\)

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

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