giải pt: \(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
Giải PT: \(x\sqrt{3x-2}+\sqrt{3-2x}=\sqrt{x^3+x^2+x+1}\)
giải pt \(3\left(x+\sqrt{x^2+1}\right)=-3x^2-2\sqrt{3}x+3\sqrt{3}-1\)
Giải pt: \(\sqrt{3x^2-7x+3}-\sqrt{x^2-2}=\sqrt{3x^2-5x-1}-\sqrt{x^2-3x+4}\)
giải pt \(\sqrt{x+3}+\sqrt{3x+1}=2\sqrt{x}+\sqrt{2x+2}\)
giải pt
\(3\left(x+\sqrt{x^2+1}\right)=-3x^2-2\sqrt{3}x+3\sqrt{3}-1\)
giải pt \(10+\sqrt{3}x^3+3x+\frac{\sqrt{3}}{x^3}=5\sqrt{3}x^3+2x+\frac{2\sqrt{3}-1}{x}+\frac{5}{x^2}\)
giải pt
1) \(\sqrt{x+3}+\sqrt{3x+1}+4\sqrt{5-x}=12\)
2) \(x+4\sqrt{x+3}+2\sqrt{3-2x}=11\)
3) \(4x\sqrt{x+3}+2\sqrt{2x-1}=4x^2+3x+3\)
4) \(x^4-x^2+3x+5-2\sqrt{x+2}=0\)
Giải PT:
\(\dfrac{x^2+\sqrt{3}}{x+\sqrt{x^2+\sqrt{3}}}+\dfrac{x^2-\sqrt{3}}{x-\sqrt{x^2-\sqrt{3}}}=x\)
Giải pt \(x\:+\sqrt{x}+1+\left(2\sqrt{5}-1\right)\sqrt{x}=3x-2\sqrt{x-4}+3 \)