Giải các phương trình:
\(a,\dfrac{3x-5}{x-2}=\dfrac{3x+1}{x-1}-\dfrac{3}{x-2}\)
b, \(\dfrac{1}{x-1}+\dfrac{2}{x+3}=\dfrac{7}{\left(x-1\right)\left(x+3\right)}\)
1..Giải phương trình sau:
a) 4(2x+3) - 3(2-3x) =7
b)\(\dfrac{\left(x-1\right)^2}{3}+\dfrac{\left(x+3\right)^2}{6}=\dfrac{\left(x-2\right)\left(x+1\right)}{2}\)
2..Cho phương trình A(x) = B(x) (1)
Các phép biến đổi sau có tương đương không?
a) (1) <=> \(A^2\left(x\right)=B^2\left(x\right)\)
b)(1) <=> \(A^3\left(x\right)=B^3\left(x\right)\)
a/8(3x-2) - 13x =5(12 - 3x) +7x
b/\(\dfrac{5x}{x+2}-\dfrac{3}{x-2}+\dfrac{3x^2+6}{\left(x-2\right)\left(x+2\right)}=0\)
c/\(\dfrac{x}{2\left(x-3\right)}+\dfrac{x}{2x+2}=\dfrac{2x}{\left(x+1\right)\left(x-3\right)}\)
a,\(\left(x+1\right)^2\left(x+2\right)+\left(x+1\right)^2\left(x-2\right)=-24\)
b, \(2x^3+3x^2+6x+5=0\)
c, \(\dfrac{3x-1}{x-1}+\dfrac{2x+5}{x+3}+\dfrac{4}{x^2+2x-3}=1\)
d, \(\dfrac{12x+1}{6x-2}-\dfrac{9x-5}{3x+1}=\dfrac{108x-36x^2-9}{4\left(9x^2-1\right)}\)
giải phương trình
1)\(2\left(x-3\right)+1=2\left(x+1\right)-9\)
2)\(\dfrac{5-x}{2}=\dfrac{3x-4}{6}\)
3) \(\left(x-1\right)^2+\left(x+2\right)\left(x-2\right)=\left(2x+1\right)\left(x-3\right)\)
4)\(\left(x+5\right)\left(x-1\right)-\left(x+1\right)\left(x+2\right)=1\)
5) \(\dfrac{6x-1}{15}-\dfrac{x}{5}=\dfrac{2x}{3}\)
6)\(\dfrac{5\left(x-2\right)}{2}-\dfrac{x+5}{3}=1-\dfrac{4\left(x-3\right)}{5}\)
giải phương trình \(\dfrac{1}{x+1}-\dfrac{5}{x-2}=\dfrac{15}{\left(x-1\right)\left(2-x\right)}\)
a) \(\left(x^2-16\right)\left(\dfrac{x}{4}-\dfrac{4x+5}{3}\right)=0\)
b) \(\left(4x-1\right)\left(x+5\right)=x^2-25\)
c) \(x\left(x+3\right)^3-\dfrac{x}{4}\left(x+3\right)=0\)
Giải các phương trình
1, \(\dfrac{1}{x}-\dfrac{2}{x+1}=\dfrac{3}{x^2+x}\)
2, \(\dfrac{x+2}{x-2}-\dfrac{1}{x}=\dfrac{2}{x\left(x-2\right)}\)
3, \(\dfrac{x-2}{x+2}-\dfrac{3}{x-2}=\dfrac{2\left(x-11\right)}{x^2-4}\)
Giải các phương trình:
\(a,\dfrac{2\left(x+7\right)}{x+1}-\dfrac{x+11}{x^2-1}=4-\dfrac{x-1}{x+1}\)
\(b,\dfrac{x+2}{x-3}+\dfrac{x+2}{x+3}=\dfrac{2\left(x+6\right)}{x^2-9}\)
