Giải phương trình
1.\(\sqrt{x+4-4\sqrt{x}}+\sqrt{x+9-6\sqrt{x}}=1\)
2. \(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)
3. \(\sqrt[3]{2x+1}+\sqrt[3]{x}=1\)
4. \(\left(x^2+3x-4\right).\left(x^2+x-6\right)=24\)
Tìm x biết:
a.\(\sqrt{18x}+2\sqrt{8x}-3\sqrt{2x}=12\)
b.\(\sqrt{9x+18}+2\sqrt{36x+72}-\sqrt{4x+8}=26\)
c.\(\sqrt{\left(x-2\right)^2}=10\)
d.\(\sqrt{9x^2-6x+1}=15\)
e.\(\sqrt{3x+4}=3x-8\)
Giải các phương trình sau:
a) \(x^3-x^2+2x=\sqrt{2x-1}+\sqrt{4x-3}\)
b) \(x^3-x^2+3x+13=4\left(\sqrt{x+3}+\sqrt{3x+1}\right)\)
c) \(x^3-4x^2+6x-1=\sqrt{2x-3}+2\sqrt{x-1}\)
d) \(x^3+4x^2+9x+9=2\sqrt{3x+4}+\sqrt{2x+3}\)
e) \(2x^2-4x+11=2\sqrt{3x-5}+3\sqrt{2x+5}\)
Giải các phương trình sau:
a) \(x^3-x^2+2x=\sqrt{2x-1}+\sqrt{4x-3}\)
b) \(x^3-x^2+3x+13=4\left(\sqrt{x+3}+\sqrt{3x+1}\right)\)
c) \(x^3-4x^2+6x-1=\sqrt{2x-3}+2\sqrt{x-1}\)
d) \(x^3+4x^2+9x+9=2\sqrt{3x+4}+\sqrt{2x+3}\)
e) \(2x^2-4x+11=2\sqrt{3x-5}+3\sqrt{2x+5}\)
1. \(x^4-x^2+3x+5=2\sqrt{x+2}\)
2. \(\sqrt{x^2+x}+\sqrt{x-x^2}=2x+2\)
3. \(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
4. \(\sqrt{2x^2-1}+\sqrt{x^2-3x+2}=\sqrt{2x^2+2x+3}+\sqrt{x^2-x+2}\)
giải các phương trình
1) \(\sqrt{4x-20}\) +3\(\sqrt{\dfrac{x-5}{9}}\) \(-\dfrac{1}{3}\sqrt{9x-45}=6\)
2)\(\sqrt{x+1}+\sqrt{x+6}=5\)
3) \(x^2-6x+\sqrt{x^2-6x+7}=5\)
4)\(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=4\)
5)\(\sqrt{x^2-\dfrac{1}{4}+\sqrt{x^2+x+\dfrac{1}{4}}}=\dfrac{1}{2}\left(2x^3+x^2+2x+1\right)\)
6)\(\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
7)\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)
Giải phương trình vô tỉ:
a) \(\sqrt{\left(1+x\right)\left(2-x\right)}=1+2x-2x^2\)
b) \(\sqrt{3x+8+6\sqrt{3x-1}}+\sqrt{3x+8-6\sqrt{3x-1}}=3x+4\)
c) \(2x\sqrt{x^2-x-1}+4x\sqrt{3x+1}=2x^2+2x+6\)
Giải các phương trình sau:
a) \(x^3-6x^2+28x-25=2\left(x+1\right)\sqrt{x+2}+\left(2x-1\right)\sqrt{x-1}\)
b) \(x^3-4x^2+31x-15=2\left(x+2\right)\sqrt{3x+1}+x\sqrt{2x-1}\)
c) \(5x^2+4x+4=2\left(x+2\right)\sqrt{x+3}+x\sqrt{3x-2}\)
Tìm x:
a. \(\sqrt{9x^2}=2x+1\)
b. \(\sqrt{x^2+6x+9}=3x-1\)
c. \(\sqrt{x^2-2x+4}=2x-3\)
