B1 :Giải phương trình

a,\(\frac{3\left(x-3\right)}{4}-1=\frac{2x+3\left(x+1\right)}{6}-\frac{7+12x}{12}\)

b,\(\left(x+2\right)\left(3-4x\right)=x^2+4x+4\)

c,\(\frac{x-2}{x+2}-\frac{3}{x-2}=\frac{2\left(x-11\right)}{x^2-4}\)

d,I7-xI-5x=1

B2:Giải bất phương trình

a,\(\left(x-2\right)\left(x+2\right)\ge x\left(x-4\right)\)

b,\(\frac{x-1}{4}-1\ge\frac{x+1}{3}+8\)

Giải phương trình

a. \(\frac{1}{27}\cdot\left(x-3\right)^3-\frac{1}{125}\cdot\left(x-5\right)^3=0\)

b.\(125x^3-\left(2x+1\right)^3-\left(3x-1\right)^3=0\)

c.\(\left(x-3\right)^3+\left(x+1\right)^3=8\cdot\left(x-1\right)^3\)

d.\(\left(x^2-3x+2\right)\cdot\left(x^2+15x+56\right)+8=0\)

e.\(\left(2x^2-3x+1\right)\cdot\left(2x^2+5x+1\right)-9x^2=0\)

f.\(\left(x+6\right)^4+\left(x+8\right)^4=272\)

Giải phương trình:

1.\(\frac{x-5}{x-5}+\frac{x-6}{x-5}+\frac{x-7}{x-5}+...+\frac{1}{x-5}=4\left(x\in N\right)\)

2.\(\frac{1}{x^2+3x+2}+\frac{1}{x^2+5x+6}+\frac{1}{x^2+7x+12}+...+\frac{1}{x^2+15x+56}=\frac{1}{14}\)

3.\(\left(1+\frac{1}{1.3}\right)\left(1+\frac{1}{2.4}\right)\left(1+\frac{1}{3.5}\right)...\left(1+\frac{1}{x\left(x+2\right)}\right)=\frac{31}{16}\left(x\in N\right)\)

4.\(8\left(x^2+\frac{1}{x^2}\right)-34\left(x+\frac{1}{x}\right)+51=0\)

5.\(6x^4-5x^3-38x^2-5x+6=0\)