ĐKXĐ: x>=0
\(\Leftrightarrow\sqrt{2x}+7=14+6\sqrt{5}\)
\(\Leftrightarrow\sqrt{2x}=7+6\sqrt{5}\)
\(\Leftrightarrow2x=229+84\sqrt{5}\)
hay \(x=\dfrac{229+84\sqrt{5}}{2}\)
giải phương trình
\(9+3\sqrt{x\left(3-2x\right)}=7\sqrt{x}+5\sqrt{3-2x}\)
Giải phương trình
\(\sqrt{x-2+\sqrt{2x+5}}+\sqrt{x+2+3\sqrt{2x-5}}=7\sqrt{2}\)
giải phương trình
a, \(\sqrt{4x-20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
b, \(2x-x^2+\sqrt{6x^2-12x+7}=0\)
c, \(\dfrac{9x-7}{\sqrt{7x+5}}=\sqrt{7x+5}\)
Giải phương trình:
1. \(\sqrt{\dfrac{42}{5-x}}+\sqrt{\dfrac{60}{7-x}}=6\)
2. \(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
3. \(x^2+x+12\sqrt{x+1}=36\)
4. \(\sqrt{x+2}-\sqrt{x-6}=2\)
5. \(\sqrt[3]{x-1}-\sqrt[3]{x-3}=\sqrt[3]{2}\)
6. \(5\sqrt{1+x^3}=2\left(x^2+2\right)\)
6. \(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
1. Giải phương tình vô tỉ sau:
a.\(\sqrt{7-x}+1=x\)
b.\(x-2+\sqrt{x+22}=0\)
c.\(\dfrac{\left(7-x\right)\sqrt{7-x}+\left(x+5\right)\sqrt{x-5}}{\sqrt{7-x}+\sqrt{x-5}}=2\)
d.\(\sqrt{x+\sqrt{2x-1}}+\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
e.\(\sqrt[3]{x-1}+1=x\)
f.\(\sqrt{x+3}-\sqrt{x+4}=1\)
Giải pt:
a)\(\sqrt{x^2+3x+2}+\sqrt{x^2+6x+5}=\sqrt{2x^2+9x+7}\)
b)\(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-2\)
Giải phương trình:(Nhớ tìm điều kiện)
a) \(\sqrt{2x-1}=\sqrt{5}\)
b)\(\sqrt{x-5}\) = 3
c)\(\sqrt{4x^2+4x+1}=6\)
d)\(\sqrt{\left(x-3\right)^2}=3-x\)
e)\(\sqrt{2x+5}=\sqrt{1-x}\)
f)\(\sqrt{x^2-x}=\sqrt{3-x}\)
g)\(\sqrt{2x^2-3}=\sqrt{4x-3}\)
h)\(\sqrt{2x-5}=\sqrt{x-3}\)
i)\(\sqrt{x^2-x+6}=\sqrt{x^2+3}\)
Tìm x:
a,\(\dfrac{\left(7-x\right)\sqrt{7-x}+\left(x-5\right)\sqrt{x-5}}{\sqrt{7-x}+\sqrt{x-5}}\) =2
b,\(\sqrt{3x^2-4x}=2x-3\)
a) \(\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
b) \(\sqrt{x+2+3\sqrt{2x-5}}+\sqrt{x-2-3\sqrt{2x-5}}=2\sqrt{2}\)
