\(\dfrac{12}{x-1}-\dfrac{8}{x+1}=1\)(ĐKXĐ: \(x\notin\left\{1;-1\right\}\))
=>\(\dfrac{12\left(x+1\right)-8\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}=1\)
=>\(\left(x-1\right)\left(x+1\right)=12x+12-8x+8=4x+20\)
=>\(x^2-1-4x-20=0\)
=>\(x^2-4x-21=0\)
=>(x-7)(x+3)=0
=>\(\left[{}\begin{matrix}x=7\left(nhận\right)\\x=-3\left(nhận\right)\end{matrix}\right.\)
\(\dfrac{1}{x}+\dfrac{1}{x+2}=\dfrac{5}{12}\)
giải pt ạ
Giải PT sau
a) \(2x^2+20x+52=0\)
b) \(\dfrac{2x-19}{5x^2-5}-\dfrac{17}{x-1}=\dfrac{8}{1-x}\)
Giải phương trình sau:
\(\dfrac{12}{x-1}-\dfrac{8}{x+1}=1\)
GIẢI PT
\(\dfrac{2x^2}{x^2-1}+\dfrac{1}{x-1}+\dfrac{2}{x+1}=1\)
giải/hệ/pt
\(\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{16}\)
\(\dfrac{3}{x}+\dfrac{6}{y}=\dfrac{1}{4}\)
giải hệ pt :
\(\dfrac{5}{x}+\dfrac{3}{y}=1\)
\(\dfrac{2}{x}+\dfrac{1}{y}=-1\)
Giải PT: \(\sqrt{x-\dfrac{1}{x}}-\sqrt{1-\dfrac{1}{x}}=\dfrac{x-1}{x}\)
giải hệ: \(\left\{{}\begin{matrix}\dfrac{1}{x-y}+\dfrac{1}{x+y}=2\\\dfrac{2}{x+y}+\dfrac{3}{x+y}=5\end{matrix}\right.\)
giải pt: \(\sqrt{x^2-4x+7}=\sqrt{x+1}\)
\(\dfrac{100}{x}-\dfrac{100}{x+10}=\dfrac{1}{2}\)
giải pt
Giải pt sau: \(\dfrac{\sqrt{x}-2}{\sqrt{x}-1}\) = \(\dfrac{\sqrt{x}}{\sqrt{x}+1}\)
