Giair các BPT sau:

a) \(\frac{2}{x-1}\le x-2\)

b) \(\sqrt{x^2-2x-15}< x-3\)

Giải BPT sau

\(\sqrt{x+1}\le\dfrac{x^2-x-2\sqrt[3]{2x+1}}{\sqrt[3]{2x+1}-3}\)

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

Giair pt sau:

a, \(x^2+\sqrt{2x^2+4x+3}=6-2x\)

b, \(\sqrt{x^2-9x+24}-\sqrt{6x^2-59x+149}=5-x\)

c, \(2x^2+4x+3\sqrt{3-2x-x^2}=1\)

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

a, \(1-x+2\sqrt{2x^2-3x-5}< 0\)

b, \(\frac{\sqrt{x^2-16}}{\sqrt{x-3}}+\sqrt{x-3}>\frac{5}{\sqrt{x-3}}\)

c,\(\left|x^2-3x+2\right|+x^2>2x\)

ai giải nhanh mik tick cho

giải BPT

a, \(1-x+2\sqrt{2x^2-3x-5}< 0\)

b, \(\frac{\sqrt{x^2-16}}{\sqrt{x-3}}+\sqrt{x-3}>\frac{5}{\sqrt{x-3}}\)

c,\(\left|x^2-3x+2\right|+x^2>2x\)

ai giải nhanh mik tick cho

\(\dfrac{x-\sqrt{x}}{1-\sqrt{2x^{2^{ }}-2x+2}}\) ≥ 1 ,x ∈ R

giải bpt 

giúp mình giải bpt vs

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