<=> 2x - 2/x - 3 = x - 3/x - 3
=> 2x - 2 = x - 3
<=> 2x - x = -3 + 2
<=> x = -1
<=> 2x - 2/x - 3 = x - 3/x - 3
=> 2x - 2 = x - 3
<=> 2x - x = -3 + 2
<=> x = -1
Tìm giá trị nhỏ nhất
a)\(\dfrac{\text{3x^2-2x+3}}{\text{x^2+1}}\)
b)\(\dfrac{\text{3x^2-4x+4}}{\text{x^2+2}}\)
C=\(\left(\dfrac{1}{1-x}+\dfrac{2}{x+1}-\dfrac{\text{5-x}}{\text{1-x}^{\text{2}}}\right)\):\(\dfrac{1-2x}{\text{x}^{\text{2}}-1}\)
a) Rút gọn
\(\text{(12x^2y^2- 6xy^2) : 3xy+2y}\)
\(\text{b. \dfrac{4}{x+1} + \dfrac{8}{\left(x+1\right)\left(x-1\right)}}\)\(\text{c. \dfrac{1 }{x+1}- \dfrac{1}{x-1} +\dfrac{ 2x}{x^2-1}
}\)
a) 6-7x+7=-8x+12
b) \(\dfrac{\text{4x-1}}{8}\)\(\)=\(\dfrac{6-x}{2}\)-\(\dfrac{1}{4}\)
c) 2x(x-3)+7x-21+0
d) \(\dfrac{x}{x-3}\)+\(\dfrac{x-2}{x+3}\)\(\dfrac{2\left(x^2+6\right)}{x^2-9}\)
Phân tích đa thức thành nhân tử
\(\dfrac{x^2}{4}\)-xy+y^2
x^2+x+\(\dfrac{1}{\text{4}}\)
x^2+2\(\sqrt{3}\)x+3
4x^2-1
Tìm GTLN GTNN của A=\(\dfrac{\text{ 2x+1}}{\text{x^2+2 }}\)
a/\(\dfrac{1-x}{x+1}+3=\dfrac{2x+3}{x+1}\)
b/\(\dfrac{\left(x+2\right)^2}{2x-3}-1=\dfrac{x^2+10}{2x-3}\)
c/\(\dfrac{5x-2}{2-2x}+\dfrac{2x-1}{2}=1-\dfrac{x^2+x-3}{1-x}\)
Thực hiên phép tính
a)\(\dfrac{x^2+2}{x^3+1}\)-\(\dfrac{1}{x+1}\)
b)\(\dfrac{x}{x^2-2x}\)-\(\dfrac{x^2+4x}{x^3-4x}\)-\(\dfrac{2}{x^2+2x}\)
c)\(\dfrac{1}{2-2x}\)-\(\dfrac{3}{2+2x}\)+\(\dfrac{2x}{x^2-1}\)
Giải các pt sau:
1)\(\dfrac{2x+1}{x^2-4}+\dfrac{2}{x+1}=\dfrac{3}{2-x}\)
2)\(\dfrac{3x+1}{1-3x}+\dfrac{3+x}{3-x}=2\)
3)\(\dfrac{8x-2}{3}=1+\dfrac{5-2x}{4}\)
4)
\(\dfrac{x}{x+1}-\dfrac{2x+3}{x}=\dfrac{-3}{x+1}-\dfrac{3}{x}\)
5)\(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{4}{x^2-1}\)
6)\(\dfrac{2x+5}{2x}-\dfrac{x}{x+5}=0\)
giúp mình với cám ơn