\(có\)\(x+2\sqrt{2}x^2+2x^3=0\Leftrightarrow x\left(2x^2+2\sqrt{2}x+1\right)\)
\(\Leftrightarrow\left(x+\frac{\sqrt{2}}{2}\right)^2\)
Giải phương trình vô tỉ :
a) \(\left(\sqrt{x+3}-\sqrt{x-1}\right)\left(x^2+\sqrt{x^2+4x+3}\right)=2x\)
b) \(\sqrt{2x+4}-2\sqrt{2-x}=\frac{6x-4}{\sqrt{x^2+4}}\)
c) \(\sqrt{3x^2-4x+2}+\sqrt{3x+1}+\sqrt{2x-1}+6x^3-7x^2-3=0\)
d) \(\sqrt{x^2+15}=3x-2+\sqrt{x^2+8}\)
Cho x;y;z>0; xyz=1.CMR:\(x\sqrt{y^2+2z^2}+y\sqrt{z^2+2x^2}+z\sqrt{x^2+2y^2}\ge3\sqrt{3}\)
Cho x;y;z>0.CMR:\(\frac{\sqrt{x^2+2y^2}}{z}+\frac{\sqrt{y^2+2z^2}}{x}+\frac{\sqrt{z^2+2x^2}}{y}\ge\sqrt{3}\)
Tìm x biết : \(x+2\sqrt{2x^2+2x^3=0}\)
Tìm x :
\(x^3+2\sqrt{2}x^2+2x=0\)
\(x+2\sqrt{2}x^2+2x^3=0\)
tìm x
tìm x biết
\(x+2\sqrt{2x^2}+2x^3=0\)
tìm x biết
\(x+2\sqrt{2x^2}+2x^3=0\)
mn giúp mk vs
tìm x biết :
a) 2-x^2=0
b)2\3x(x^2-4)=0
c)x+2\(\sqrt{2x^2}\)+2x^3=0
d)x^2-4x(x-2)^2=0