M= 1/1975*(2+1/1945-1)-1/1945*(1-2/1975)-1974/1975*1946/1945-3/1975*1945
GIẢI PHƯƠNG TRÌNH
\(\frac{X+29}{1971}+\frac{X+27}{1973}+\frac{X+25}{1975}=\frac{X+1971}{29}+\frac{X+1973}{27}+\frac{X+1975}{25}\)
Rút gọn các biểu thức:
\(\frac{x+1}{x^2-2x}.\frac{4-x}{x^2+x}\)
\(\frac{x^3}{x+2006}.\frac{2x+1975}{x+1}+\frac{x^3}{x+2006}.\frac{31-x}{x+1}\)
\(\frac{19x+8}{x-7}.\frac{5x-9}{x+2006}-\frac{19x+8}{x-7}.\frac{4x-2}{x+2006}\)
$\frac{x+20}{2000}+\frac{x+45}{2005}+\frac{x-5}{2025}=\frac{x+45}{1975}+\frac{x=90}{2140}\frac{x-20}{2040}$
Chứng minh nghiệm phương trình sau là số nguyên:
\(\frac{x-1996}{15}+\frac{x-1975}{10}+\frac{x-1960}{5}+-2019=0\)
Bạn nào làm đúng mk sẽ t.i.c.k nha
`(2/1.2 + 2/3.4 + ... + 2/99.100) . (x^2 +x+1945)/2 > 1975 . (1/51 + 1/52 + ... + 1/99 + 1/100)`
chứng minh rằng a=1890^1930+1945^1975+1 chia hết cho 7
Tính:
\(\left(\frac{1000}{1}+\frac{999}{2}+\frac{998}{3}+\frac{997}{4}+...+\frac{2}{999}+\frac{1}{1000}\right)\)\(:\)\(\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+...+\frac{1}{1000}\right)\)
\(\frac{\frac{1}{2}+\frac{1}{3}+......+\frac{1}{2013}}{\frac{2012}{1}+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}}\)
=\(\frac{\frac{1}{2}+\frac{1}{3}+..+\frac{1}{2013}}{\frac{2012}{1}+2+\frac{2012}{2}+1+\frac{2011}{3}+1+...+\frac{1}{2013}+1-2014}\)
=\(\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}}{\frac{2014}{1}+\frac{2014}{2}+...+\frac{2014}{2013}-2014}\)
=\(\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}}{2014\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}-1\right)}\)
=\(\frac{1}{2014}\)