\(\dfrac{x-5}{100}+\dfrac{x-4}{101}=\dfrac{x-100}{5}+\dfrac{x-101}{4}\)
\(\Leftrightarrow\dfrac{x-5}{100}-1+\dfrac{x-4}{101}-1=\dfrac{x-100}{5}-1+\dfrac{x-101}{4}-1\)
\(\Leftrightarrow\dfrac{x-105}{100}+\dfrac{x-105}{101}-\dfrac{x-105}{5}-\dfrac{x-105}{4}=0\)
\(\Leftrightarrow\left(x-105\right)\left(\dfrac{1}{100}+\dfrac{1}{101}-\dfrac{1}{5}-\dfrac{1}{4}\right)=0\Leftrightarrow x=105\)
giải phương trình sau
a.\(\dfrac{x-5}{100}+\dfrac{x-4}{101}+\dfrac{x-3}{102}=\dfrac{x-100}{5}+\dfrac{x-101}{4}+\dfrac{x-102}{3}\)
Tìm x:
\(\dfrac{x-5}{100}+\dfrac{x-4}{100}+\dfrac{x-3}{100}=\dfrac{x-100}{5}+\dfrac{x-101}{4}+\dfrac{x-102}{3}\)
\(\dfrac{29-x}{21}+\dfrac{27-x}{23}+\dfrac{25-x}{25}+\dfrac{23-x}{27}+\dfrac{21-x}{29}=-5\)
\(\dfrac{2-x}{2001}-1=\dfrac{1-x}{2002}-\dfrac{x}{2003}\)
Tìm x , biết :
| x + \(\dfrac{1}{101}|\) + | x + \(\dfrac{2}{101}|\) + | x + \(\dfrac{3}{101}|\) + ...... + | x + \(\dfrac{100}{101}\) | = 101x
Giải phương trình sau:
\(\dfrac{x-1}{2013}\)+\(\dfrac{x-2}{2012}\)+\(\dfrac{x-3}{2011}\)=\(\dfrac{x-4}{2010}\)+\(\dfrac{x-5}{2009}\)+\(\dfrac{x-6}{2008}\)
Giải các phương trình sau:
1. \(a,\dfrac{6}{x-1}-\dfrac{4}{x-3}=\dfrac{8}{2x-6}\)
\(b,\dfrac{1}{x-2}+\dfrac{5}{x+1}=\dfrac{3}{2-x}\)
\(c,\dfrac{3x}{x-2}-\dfrac{x}{x-5}=\dfrac{3x}{\left(x-2\right)\left(5-x\right)}\)
2. \(a,\left(x+2\right)\left(3-4x\right)=x^2+4x+4\)
\(b,2x^2-6x+1\)
Giải phương trình sau: \(1+\dfrac{x-2}{1-x}+\dfrac{2x^2-5}{x^3-1}=\dfrac{4}{x^2+x+1}\)
Bài 1: Giải phương trình
\(a,\dfrac{x+1}{2009}+\dfrac{x+3}{2007}=\dfrac{x+5}{2005}+\dfrac{x+7}{1993}\)
\(b,\left(x+2\right)^4+\left(x+4\right)^4=14\)
\(c,\left(x-3\right)\left(x-2\right)x+1=60\)
d, \(2x^4+3x^3-x^2+3x+2=0\)
Giải phương trình sau :
a, \(\dfrac{x+3}{x+2}-\dfrac{x+4}{x+3}=\dfrac{x+5}{x+4}-\dfrac{x+6}{x+5}\)
b, \(\dfrac{x+1}{x-2}-\dfrac{12}{x^2-4}=\dfrac{x+7}{x+2}\)
Giải phương trình sau :
\(\dfrac{1}{(x+3)(x+2)}+\dfrac{1}{(x+4)(x+3)}+\dfrac{1}{(x+5)(x+4)}+ \dfrac{1}{(x+6)(x+5)}=\dfrac{1}{8}\)
