\(\Leftrightarrow\dfrac{6x-2-x+1}{6}-\dfrac{6x+1-2x}{6}=\dfrac{3x-1}{10}-6\)
\(\Leftrightarrow\dfrac{5x-1-4x-1}{6}=\dfrac{3x-61}{10}\)
\(\Leftrightarrow\dfrac{x-2}{3}=\dfrac{3x-61}{5}\)
=>5x-10=9x-183
=>-4x=-173
hay x=173/4
1) tính
a) \(\frac{4}{x+2}+\frac{3}{2-x}+\frac{12}{x^2-4}\)
b) \(x+\frac{x-1}{2}+\frac{x-2}{3}\)
c) \(\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{3x-6}{4-9x^2}\)
d) x - 2 - \(\frac{x^2-10}{x+2}\)
e) \(\frac{1}{2x-2y}-\frac{1}{2x+2y}+\frac{y}{y^2-x^2}\)
f) \(\frac{1}{a+1}-\frac{3}{a^3+1}+\frac{3}{a^2-a+1}\)
g) \(\frac{4-2x+x^2}{x+2}-2-x\)
h)\(\frac{1}{x^3-x}-\frac{1}{x^2-x}+\frac{2}{x^2-1}\)
j) \(\frac{1}{2x+3}-\frac{1}{2x-3}+\frac{x-2}{2x^2-x-3}\)
\(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2-x+1}\right).\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\) thực hiện phép tính
rút gọn
a) \(\frac{1}{x-y}-\frac{3xy}{x^2-y^2}+\frac{x-y}{x^2+x+y^2}\)
b) \(\frac{1}{x^2+3x+2}+\frac{1}{x^2+4x+4}+\frac{1}{x^2+5x+6}\)
c) \(\frac{4.\left(x+3\right)^2}{\left(3x+5\right)^2-4x^2}-\frac{x^2-25}{9x^2.\left(2x+5\right)^2}-\frac{\left(2x+3\right)^2-x^2}{\left(4x+15\right)^2-x^2}\)
giải jùm vs
Rút gọn Pthức:
A= \(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2+x+1}\right)\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\)
Rút gọn biểu thức:
a, \(\frac{x^4+15x+7}{2x^3+2}.\frac{x}{14x^2+1}.\frac{4x^3+4}{x^4+15x+7}\)
b, \(\frac{x^7+3x^2+2}{x^3-1}.\frac{3x}{x+1}.\frac{x^2+x+1}{x^7+3x^2+2}\)
GIẢI PHƯƠNG TRÌNH SAU
A) \(\frac{X^2+2X+1}{X^2+2X+2}+\frac{X^2+2X+2}{X^2+2X+3}=\frac{7}{6}\)
B) \(\frac{\left(X^2-3X-4\right)^4}{\left(X-3\right)^5\left(X+2\right)^3}+\frac{\left(X^2+4X+3\right)^6}{\left(X-3\right)^3\left(X+2\right)^5}=0\)
giải phương trình
\(x+\frac{2x+\frac{x-1}{5}}{3}=1-\frac{3x-\frac{1-2x}{3}}{5}\)
tính
\(\left(\frac{x+2}{x+1}-\frac{2x}{x-1}\right).\frac{3x+3}{x}+\frac{4x^2+x+7}{x^2-x}\)
B1: Chứng minh rằng:Nếu 10x2+5xy-3y2=0 thì \(\frac{2x-y}{3x-y}+\frac{5y-x}{3x+y}=-3\)
B2:Tìm giá trị nguyên của x sao cho:\(\frac{1}{x}+\frac{1}{x+2}+\frac{x-2}{x^2+2x}\)nhận giá trị nguyên
