Tính giá trị biểu thức

Giải các bất phương trình sau

1) \(\dfrac{x^2+3x-1}{2-x}+x>0\)

2)\(\dfrac{2x-3}{3x-5}< \dfrac{3x+5}{2x-3}\)

Giải các bất phương trình sau

1) (2x+1)(x-1)\(\le\)0

2) 3x²+5x+2>0

3) 3x-x²\(\ge\)0

Giải các bất phương trình sau
1. \(\dfrac{x+1}{35}+\dfrac{x+3}{33}>\dfrac{x+5}{31}+\dfrac{x+7}{29}\)

2.\(\dfrac{x+29}{31}-\dfrac{x+27}{33}< \dfrac{x+17}{43}-\dfrac{x+15}{45}\)

3.\(\dfrac{x-1}{13}-\dfrac{2x-13}{15}\ge\dfrac{3x-15}{27}-\dfrac{4x-27}{29}\)

4.\(\dfrac{x-85}{15}+\dfrac{x-74}{13}+\dfrac{x-67}{11}+\dfrac{x-64}{9}\le10\)

Giải các bất phương trình sau
1) 8x-3 < 5(\(\dfrac{7x}{5}\)+3)
2) 2x+\(\dfrac{x+1}{2}\) > 3x-\(\dfrac{1}{5}\)

3) x-\(\dfrac{5x}{6}\)-3 > \(\dfrac{x}{3}\)-\(\dfrac{x}{6}\)

4) \(\dfrac{x+7}{15}\) >\(\dfrac{3x}{5}\)-\(\dfrac{x}{3}\)+ \(\dfrac{7}{15}\)

Giải các bất phương trình sau
1) (2x+3)(2x-1) > 4x(2x+2)
2)  5(x-1)-x(7-x) < x²
3) (x-1)²+(x-3)² > x²+(x+1)²
4) \(\dfrac{\left(2x-1\right)^2}{8}\) < \(\dfrac{\left(3x-2\right)^2}{2}\)
5) \(\dfrac{\left(x-2\right)^2}{5}\)+\(\dfrac{3\left(x-1\right)^2}{10}\)<\(\dfrac{x^2+1}{2}\)

Giải phương trình
a) \(\dfrac{12}{1-9x^2}\)=\(\dfrac{1-3x}{1+3x}\)-\(\dfrac{1+3x}{1-3x}\)

b) \(\dfrac{2}{x^2-4}\)-\(\dfrac{x-1}{x\left(x-2\right)}\)+\(\dfrac{x-4}{x\left(x+2\right)}\)=0

c)\(\dfrac{16}{x^2-16}\)+\(\dfrac{2}{x+4}\)-\(\dfrac{1}{x-4}\)=0

d)\(\dfrac{x}{x-3}\)-\(\dfrac{x}{x-5}\)=\(\dfrac{x}{x-4}\)-\(\dfrac{x}{x-6}\)

Giải phương trình
a)  \(\dfrac{4x-5}{x-1}\)=2+\(\dfrac{x}{x-1}\)

b) \(\dfrac{7}{x+2}\)=\(\dfrac{3}{x-5}\)

c) \(\dfrac{2x+5}{2x}\)-\(\dfrac{x}{x+5}\)=0

d) \(\dfrac{14}{3x-2}\)-\(\dfrac{2+x}{x-4}\)=\(\dfrac{3}{8-2x}\)-\(\dfrac{5}{6}\)