\(\dfrac{5}{x}+\dfrac{4}{x+1}=\dfrac{3}{x+2}+\dfrac{2}{x+3}\)
\(\Leftrightarrow\dfrac{5}{x}+1+\dfrac{4}{x+1}+1=\dfrac{3}{x+2}+1+\dfrac{2}{x+3}+1\)
\(\Leftrightarrow\dfrac{x+5}{x}+\dfrac{x+5}{x+1}-\dfrac{x+5}{x+2}-\dfrac{x+5}{x+3}=0\)
\(\Leftrightarrow\left(x+5\right)\left(\dfrac{1}{x}+\dfrac{1}{x+1}-\dfrac{1}{x+2}-\dfrac{1}{x+3}\right)=0\)
\(\Leftrightarrow x+5=0\)
\(\Leftrightarrow x=-5\)
\(\dfrac{x-1}{x}\)-\(\dfrac{1}{x+1}\)=\(\dfrac{2x-1}{x^2+x}\)
Giải phương trình giúp mình với
Giải phương trình:
\(\dfrac{3x-1}{x-1}\) - \(\dfrac{2x+5}{x+3}\) + \(\dfrac{4}{x^2+2x-3}\) = 1
Giải các phương trình sau :
a) \(\dfrac{2x+1}{x-1}=\dfrac{5\left(x-1\right)}{x+1}\)
b) \(\dfrac{x-3}{x-2}+\dfrac{x-2}{x-4}=-1\)
c) \(\dfrac{1}{x-1}+\dfrac{2x^2-5}{x^3-1}=\dfrac{4}{x^2+x+1}\)
d) \(\dfrac{13}{\left(x-3\right)\left(2x+7\right)}+\dfrac{1}{2x+7}=\dfrac{6}{x^2-9}\)
Giải phương trình
\(\dfrac{x-3}{x-2}\)+\(\dfrac{x-2}{x-4}\)= -1
Giải phương trình:
a) \(\dfrac{2x-5}{x+5}\) = 4
b) \(\dfrac{x^2-4}{x}\) = \(\dfrac{2x+3}{2}\)
c) \(\dfrac{2x+3}{2x-1}\) = \(\dfrac{x-3}{x+5}\)
d) \(\dfrac{3x-2}{x+7}\) = \(\dfrac{6x+1}{2x-3}\)
giải các phương trình sau : \(\dfrac{2x-3}{4}+2=\dfrac{1-x}{6}\)
giải phương trình sau
\(\dfrac{x+5}{3}-\dfrac{x-3}{5}=\dfrac{5}{x-3}-\dfrac{3}{x+5}\)
\(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x+3}+\dfrac{4}{x^2+2x-3}=1\)
\(\dfrac{x+5}{x-1}=\dfrac{x+1}{x-3}-\dfrac{8}{x^2-4x+3}\)
Giải các phương trình sau :
a) \(\dfrac{1-6x}{x-2}+\dfrac{9x+4}{x+2}=\dfrac{x\left(3x-2+1\right)}{x^2-4}\)
b) \(1+\dfrac{x}{3-x}=\dfrac{5x}{\left(x+2\right)\left(3-x\right)}+\dfrac{2}{x+2}\)
c) \(\dfrac{2}{x-1}+\dfrac{2x+3}{x^2+x+1}=\dfrac{\left(2x-1\right)\left(2x+1\right)}{x^3-1}\)
d) \(\dfrac{x^3-\left(x-1\right)^3}{\left(4x+3\right)\left(x-5\right)}=\dfrac{7x-1}{4x+3}-\dfrac{x}{x-5}\)
Giải các phương trình sau:
a) \(\dfrac{7x-3}{x-1}=\dfrac{2}{3}\).
b) \(\dfrac{2\left(3-7x\right)}{1+x}=\dfrac{1}{2}\).
c) \(\dfrac{1}{x-2}+3=\dfrac{3-x}{x-2}\).
d) \(\dfrac{8-x}{x-7}-8=\dfrac{1}{x-7}\).
