\(\Leftrightarrow\left(5x+\dfrac{x-1}{5}\right)\cdot\dfrac{1}{3}=\left(5-3x+\dfrac{1-2x}{3}\right)\cdot\dfrac{1}{5}\)
\(\Leftrightarrow\dfrac{26x-1}{15}=\dfrac{15-9x+1-2x}{15}\)
=>26x-1=-11x+16
=>37x=17
hay x=17/37
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) \(\frac{\left(X^2-3X-4\right)^4}{\left(X-3\right)^5\left(X+2\right)^3}+\frac{\left(X^2+4X+3\right)^6}{\left(X-3\right)^3\left(X+2\right)^5}=0\)
\(\frac{3x-1-\frac{x-1}{2}}{3}-\frac{2x+\frac{1-2x}{3}}{2}=\frac{\frac{3x-1}{2}}{5}-6\)
Giải phương trình:
a) \(\frac{x+3}{x-2}-\frac{2x+3}{x+2}=\frac{2x^2+5x+12}{x^2-4}\)
b) \(\frac{2x+5}{x-3}+\frac{x-1}{x+3}=\frac{x^2+6x+18}{x^2-9}\)
Giải phương trình:
a. \(2+\frac{2x^2-8x}{2x^2+8x}+\frac{2x^2+7x+23}{2x^2+7x-4}=\frac{2x+5}{2x-1}\)
b.\(\frac{x^2+2x+1}{x^2+2x+2}+\frac{x^2+2x+2}{x^2+2x+3}=\frac{7}{6}\)
1 . Giải phương trình :
a) \(7x-5=13-5x\) d)\(\frac{2x-3}{3}-\frac{x-3}{6}=\frac{4x+3}{5}-17\)
b) \(13-7x=4x-20\) e) \(\frac{x+1}{58}+\frac{x+2}{57}=\frac{x+3}{56}+\frac{x+4}{55}\)
c) \(\frac{2x-1}{3}-\frac{5x+2}{7}=x+13\)
2 . Cho hai phương trình ẩn x :
\(3x+3=0\) ( 1 )
\(5-kx=7\) ( 2 )
Tìm giá trị của k sao cho nghiệm của phương trình ( 1 ) là nghiệm của phương trình ( 2 ) .
giải jùm vs
Rút gọn Pthức:
A= \(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2+x+1}\right)\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\)
giải phương trình
1. \(\frac{2x+3}{5x-3}\)-\(\frac{3}{4x-6}\)=\(\frac{2}{5}\)
2. \(\frac{1}{x-1}\)-\(\frac{7}{x-2}\)=\(\frac{1}{\left(x-1\right)\left(2-x\right)}\)
3. x+\(\frac{x-1}{x-2}\)=3+\(\frac{1}{x-2}\)
4. \(\frac{x+1}{x-3}\)-\(\frac{1}{x-1}\)=\(\frac{2}{\left(x-1\right)\left(x-3\right)}\)
5. \(\frac{2x-1}{x+1}+\frac{x}{\left(x-1\right)\left(x-2\right)}=\frac{6x-2}{x-2}\)
\(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2-x+1}\right).\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\) thực hiện phép tính
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) \(\frac{1}{2x+3}-\frac{1}{2x-3}+\frac{x-2}{2x^2-x-3}\)
