Giải các phương trình sau:

a)\(\frac{\left(9x-0.7\right)}{4}-\frac{\left(5x-1.5\right)}{7}=\frac{\left(7x-1.1\right)}{3}-\frac{5\left(0.4-2x\right)}{6}\)

b)\(\frac{3x-1}{x-1}-\frac{2x+5}{x+3}=1-\frac{4}{\left(x-1\right)\left(x+3\right)}\)

c)\(\frac{3}{4\left(x-5\right)}+\frac{15}{50-2x^2}=-\frac{7}{6\left(x+5\right)}\)

d)\(\frac{8x^2}{3\left(1-4x\right)^2}=\frac{2x}{6x-3}-\frac{1+8x}{4+8x}\)

giải các hệ BPT sau:

a) \(\left\{{}\begin{matrix}5x-2>4x+5\\5x-4< x+2\end{matrix}\right.\)

b) \(\left\{{}\begin{matrix}2x+1>3x+4\\5x+3\ge8x-9\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}\frac{5x+2}{3}\ge4-x\\\frac{6-5x}{13}< 3x+1\end{matrix}\right.\)

d) \(\left\{{}\begin{matrix}\frac{4x-5}{7}< x+3\\\frac{3x+8}{4}>2x-5\end{matrix}\right.\)

e) \(\left\{{}\begin{matrix}6x+\frac{5}{7}< 4x+7\\\frac{8x+3}{2}< 2x+5\end{matrix}\right.\)

f) \(\left\{{}\begin{matrix}15x-2>2x+\frac{1}{3}\\2\left(x-4\right)< \frac{3x-14}{2}\end{matrix}\right.\)

g) \(\left\{{}\begin{matrix}x-1\le2x-3\\3x< x+5\\5-3x\le2x-6\end{matrix}\right.\)

h) \(\left\{{}\begin{matrix}2x+\frac{3}{5}>\frac{3\left(2x-7\right)}{3}\\x-\frac{1}{2}< \frac{5\left(3x-1\right)}{2}\end{matrix}\right.\)

j) \(\left\{{}\begin{matrix}\frac{3x+1}{2}-\frac{3-x}{3}\le\frac{x+1}{4}-\frac{2x-1}{3}\\3-\frac{2x+1}{5}>x+\frac{4}{3}\end{matrix}\right.\)

Tìm điều kiện xác định rồi giải các phương trình sau:

a) \(\frac{x-2}{2+x}-\frac{3}{x-2}=\frac{2\left(x-11\right)}{x^2-4}\)
b) \(\frac{3}{4\left(x-5\right)}+\frac{15}{50-2x^2}=\frac{-7}{6\left(x+5\right)}\)
c) \(\frac{8x^2}{3\left(1-4x^2\right)}=\frac{2x}{6x-3}-\frac{1+8x}{4+8x}\)
d) \(\frac{13}{\left(x-3\right)\left(2x+7\right)}+\frac{1}{2x+7}=\frac{6}{x^2-9}\)
Help me!

bài1: tìm x:

a)\(8< 2^x< =2^9.2^5\)

b)\(27< 81^3:3^x< 243\)

c)\(\left(\frac{2}{5}\right)^x\left(\frac{5}{2}\right)^{-3}.\left(\frac{-2}{5}\right)^2\)

d)\(\left(5x+1\right)^2=\frac{36}{49}\)

e)\(\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}\right)^6\)                                f)\(\left(8x-1\right)^{2n+1}=5^{2n+1}\)(n thuộc N)

bài 2:tìm x,y biết:

a)\(x^2+\left(y-\frac{1}{10}\right)^4=0\)

b)\(\left(\frac{1}{2}x-5\right)^{20}+\left(y^2-\frac{1}{4}\right)^{10}< =6\)

c)\(\left(x-7\right)^{x+1}-\left(x-y\right)^{x+11}=0\)

bài 3:tìm giá trị nhỏ nhất:

\(A=\left(2x+\frac{1}{3}\right)^2-1\)

tìm Gía trị lớn nhất :\(B=-\left(\frac{4}{9}x-\frac{2}{15}\right)^6+3\)

baif4: tìm x,y:

\(x.\left(x-y\right)=\frac{1}{10}\)                                         \(\)

giúp mình với nhé

1)2x(25x-4)-(5x-2)(5x+1)=8 / 5)\(2\left(x-2\right)-3\left(3x-1\right)=\left(x-3\right)\)

2)x(4x-3)-(2x-2)(2x-1)=5 / 6)\(\frac{2}{x+1}-\frac{1}{x-2}=\frac{3x-11}{\left(x+1\right)\left(x-2\right)}\)

3)\(\frac{5}{2x+3}+\frac{3}{9-x^2}=\frac{8}{7\left(x=3\right)}\) / 7)\(\frac{5x-2}{6}+\frac{3-4x}{2}=2-\frac{x+7}{3}\)

4)\(\frac{2}{3\left(x-2\right)}+\frac{5}{12-3x^2}=\frac{3}{4\left(x+2\right)}\) / 8)\(\frac{2}{x+1}-\frac{1}{x-2}=\frac{3x-11}{\left(x+1\right)\left(x-2\right)}\)

Bài 1:Giải phương trình

a)\(10x^2-5x\left(2x+3\right)=15\)

b)\(3x-7-\left(3-4x\right)\left(2x+1\right)=4x\left(2x-7\right)\)

c)\(\left(4x-5\right)^2-\left(7-2x\right)=4\left(2x-4\right)^2+6x\)

Bài 2:Giải phương trình

a)\(\frac{3\left(x-1\right)}{2}+4=\frac{2x}{3}+\frac{4-5x}{6}\)

b)\(\frac{4-x}{7}-\frac{1}{7}\left(\frac{7+3x}{9}+\frac{5-2x}{2}\right)=4-\frac{4x}{3}\)

c)\(\frac{2}{9}\left(2x-5\right)-\frac{5}{3}\left[\left(x-2\right)-\frac{7}{12}\right]=\frac{3}{4}\left(x-3\right)\)

Bài 3:Giải phương trình

a)\(\left(x-6\right)\left(2x-5\right)\left(3x+9\right)=0\)

b)\(2x\left(x-3\right)+5\left(x-3\right)=0\)

c)\(\left(x^2-4\right)-\left(x-2\right)\left(3-2x\right)=0\)

Bài 4:Tìm m để phương trình sau có nghiệm bằng 7:\(\left(2m-5\right)x-2m^2+8=43\)

Bài 5:Giải phương trình

a)\(\left(2x-1\right)^2-\left(2x+1\right)^2=0\)

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

Bài 1: rút gọn phân thức

a) \(\frac{14xy^2\left(2x-3y\right)}{21x^2y\left(2x-3y\right)^2}\)

b) \(\frac{8xy\left(3x-1\right)^2}{12x^3\left(1-3x\right)}\)

c) \(\frac{20x^2-45}{\left(2x+3\right)^2}\)

d) \(\frac{5x^2-10xy}{2\left(2y-x\right)^3}\)

e) \(\frac{80x^3-125x}{3\left(x-3\right)-\left(x-3\right)\left(8-4x\right)}\)

f) \(\frac{9-\left(x+5\right)^2}{x^2+4x+4}\)

g) \(\frac{32x-8x^2+2x^3}{x^3+64}\)

h) \(\frac{5x^3+5x}{x^4-1}\)

Bài 2: Quy đồng mẫu thức của các phân thức sau

a) \(\frac{7x-1}{2x^2+6x};\frac{5-3x}{x^2-9}\)

b) \(\frac{x+1}{x-x^2};\frac{x+2}{2-4x+2x^2}\)

c) \(\frac{4x^2-3x+5}{x^3-1};\frac{2x}{x^2+x+1};\frac{6}{x-1}\)

d) \(\frac{7}{5x};\frac{4}{x-2y};\frac{x-y}{8y^2-2x^2}\)