Giải các phương trình sau:
1) \(\sqrt{3x^2+5x+8}-\sqrt{3x^2+5x+1}=1\)
2) \(x^2-2x-12+4\sqrt{\left(4-x\right)\left(2+x\right)}=0\)
3) \(3\sqrt{x}+\dfrac{3}{2\sqrt{x}}=2x+\dfrac{1}{2x}-7\)
4) \(\sqrt{x}-\dfrac{4}{\sqrt{x+2}}+\sqrt{x+2}=0\)
5)\(\left(x-7\right)\sqrt{\dfrac{x+3}{x-7}}=x+4\)
6) \(2\sqrt{x-4}+\sqrt{x-1}=\sqrt{2x-3}+\sqrt{4x-16}\)
7) \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+3}{2}\)
Giúp mình với ajk, mink đang cần gấp
a,\(\sqrt{ }\)2x+3 + \(\sqrt{ }\)x+1 = 3x + 2\(\sqrt{ }\)(2x+3)(x+1)
b, \(\sqrt{ }\)3x -2 + \(\sqrt{ }\)x-1 = 4x -9 +2\(\sqrt{ }\)3x²-5x+2
c, \(\sqrt{ }\)x+2\(\sqrt{ }\)x-1 - \(\sqrt{ }\)x-2\(\sqrt{ }\)x-1 =-2
d, \(\sqrt{ }\)x² +12 + 5= 3x + \(\sqrt{ }\)x² +5
giải các phương trình sau
a)\(\sqrt{x^2-3x+3}+\sqrt{x^2-3x+6}=3\)
b)\(\sqrt{3-x+x^2}-\sqrt{2+x-x^2}=1\)
c)\(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+3}{2}\)
d)\(5\sqrt{x}+\dfrac{5}{2\sqrt{x}}=2x+\dfrac{1}{2x}+4\)
1, \(x^3-x-3=2\sqrt{6x-x^2}\)
2, \(x^3+6x^2-171x-40\left(x+1\right)\sqrt{5x-1}+20=0\)
3, \(\sqrt[3]{x+3}+\sqrt[3]{x-3}=\sqrt[5]{x-5}+\sqrt[5]{x+5}\)
4. \(\left(\frac{1}{\sqrt{x}}-\frac{\sqrt{x}}{x+1}\right)^2=\frac{4\left(1+\sqrt{1+4x}\right)}{x+1+\sqrt{x^2+3x+2}}\)
\(4+2\sqrt{1-x}+3x=5\sqrt{1+x}+\sqrt{1-x^2}\)
Giải pt :
a) \(x^2+3x\sqrt[3]{3x+3}-12+\frac{1}{\sqrt{x}}=\frac{\sqrt{x}+8}{x}\)
b) \(\sqrt{\left(x-1\right)\left(3-x\right)}+\sqrt{x+2}=\sqrt{x-1}+\sqrt{3-x}+\frac{x}{2}\)
\(3\sqrt{x+5}+3\sqrt{5-11x}=x^2+3x+20\)
giải hệ phương trình sau:
\(4x^2+y-x-9=\sqrt{3x+1}+\sqrt{x^2+5x+y-8}\)
\(x\sqrt{12-y}+\sqrt{y\left(12-x^2\right)}=12\)
giải pt
a) \(\sqrt{3x-2}-\sqrt{5-x}=\sqrt{2x-4}\)
b) 2(1-x)\(\sqrt{x^2+2x-1}\) = 4-2x