giúp mình giải bpt vs
\(\dfrac{\left|2x-1\right|-x}{2x}>1;\dfrac{2-\left|x-2\right|}{x^2-1}\ge0;\dfrac{\sqrt{x+4}-2}{4-9x^2}\le0;\dfrac{x^2-2x-3}{\sqrt[3]{3x-1}+\sqrt[3]{4-5x}}\ge0;\)\(3x^2-10x+3\ge0;\left(\sqrt{2}-x\right)\left(x^2-2\right)\left(2x-4\right)< 0;\dfrac{1}{x+9}-\dfrac{1}{x}>\dfrac{1}{2};\dfrac{2}{1-2x}\le\dfrac{3}{x+1}\)
giải BPT : (x2 -3x)\(\sqrt{2x^2-3x-2}\ge0\)
giải BPT : a) \(\sqrt{11+x}+\sqrt{1-x}< 2-\frac{x^2}{4}\)
b) \(x+\frac{2x}{\sqrt{x^2-4}}>3\sqrt{5}\)
c) \(\left(x+2\right)\sqrt{4-x^2}=< -2x-8\)
giải các BPT :
1. \(\sqrt{x^2-3x+2}+\sqrt{x^2-3x+16}>3\)
2.\(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}\le2x+2\)
3.\(\sqrt{2x-1}+\sqrt{3x-2}< \sqrt{4x-3}+\sqrt{5x-4}\)
giải BPT :
a. \(\sqrt[3]{x+6}+\sqrt{x-1}\ge x^2-1\)
b.2\(\sqrt[3]{x+4}+\sqrt{2x+7}+x^2+8x+13\)
c.\(4x^3+5x^2+1\ge\sqrt{3x+1}-3x\)
giúp với ạ
Giải bpt:
a,\(\frac{\sqrt{x^2-x+4}-2x-3}{x-2}>3\)
b, \(\sqrt{x\left(x-1\right)}+\sqrt{x\left(x+2\right)}\le\sqrt{x\left(4x+1\right)}\)
giải bpt:
1. \(\frac{\sqrt{-3x^2+x+4}+2}{x}< 2\)
2. \(\sqrt{x^2-3x+2}+\sqrt{x^2-4x+3}\ge2\sqrt{x^2-5x+4}\)
3. \(\sqrt{x^2-8x+15}+\sqrt{x^2+2x-15}\le\sqrt{4x^2-18x=18}\)
4. 4(x+1)2 \(\ge\) (2x +10)( 1- \(\sqrt{3+2x}\))2
5. \(\sqrt{1+x}-\sqrt{1-x}\ge x\)
Giải bpt:
\(x+\frac{2x}{\sqrt{x^2-4}}\ge3\sqrt{5}\)
Giải BPT
\(\frac{\sqrt{-x^2+x+6}}{2x+5}\le\frac{\sqrt{-x^2+x+6}}{x+4}\)