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: \(\sqrt{x^4+x^2+1}+\sqrt{x.\left(x^2-x+1\right)}\le\sqrt{\dfrac{\left(x^2+1\right)^3}{x}}\)

Giải BPT: \(\sqrt{x^4+x^2+1}+\sqrt{x.\left(x^2-x+1\right)}\le\sqrt{\dfrac{\left(x^2+1\right)^3}{x}}\)

Giải BPT: \(\sqrt{x^4+x^2+1}+\sqrt{x.\left(x^2-x+1\right)}\le\sqrt{\dfrac{\left(x^2+1\right)^3}{x}}\)

giải bpt

\(\left(\sqrt{x+4}-1\right)\sqrt{x+2}\ge\frac{x^3+4x^2+3x-2\left(x+3\right)\sqrt[3]{2x+3}}{\left(\sqrt[3]{2x+3}-3\right)\left(\sqrt{x+4}+1\right)}\)

giúp mình giải bpt vs

\(\dfrac{\left|2x-1\right|-x}{2x}>1;\dfrac{2-\left|x-2\right|}{x^2-1}\ge0;\dfrac{\sqrt{x+4}-2}{4-9x^2}\le0;\dfrac{x^2-2x-3}{\sqrt[3]{3x-1}+\sqrt[3]{4-5x}}\ge0;\)\(3x^2-10x+3\ge0;\left(\sqrt{2}-x\right)\left(x^2-2\right)\left(2x-4\right)< 0;\dfrac{1}{x+9}-\dfrac{1}{x}>\dfrac{1}{2};\dfrac{2}{1-2x}\le\dfrac{3}{x+1}\)

Tìm a để bpt \(\sqrt{\left(x+5\right)\left(3-x\right)}\le x^2+2x+a\) nghiệm đúng với mọi x thuộc \(\left[-1-\sqrt{15};-1+\sqrt{14}\right]\)

1) giải bpt:

\(-4\sqrt{\left(4-x\right)\left(2+x\right)}\le x^2-2x-12\)