\(\frac{x-5}{2015}\)+\(\frac{x-4}{2016}\)=\(\frac{x-3}{2017}\)+\(\frac{x-2}{2018}\)
\(\frac{x-1}{12}\)-\(\frac{2x-12}{14}\)=\(\frac{3x-14}{25}\)-\(\frac{4x-29}{27}\)
Những câu hỏi liên quan
\(\frac{x-1}{12}+\frac{2x-12}{14}=\frac{3x-14}{25}+\frac{4x-29}{27}\)\(\frac{3}{x+1}+\frac{4}{x-2}=/frac{5}{x-3}+\frac{6}{x-4}\)\(\frac{2x-1}{2}+\frac{2x+1}{3}=/frac{2x+7}{6}+\frac{2x+9}{7}\)
Xem chi tiết
\(\frac{x-1}{12}-\frac{2x-12}{14}=\frac{3x-14}{25}-\frac{4x-29}{27}\)
1 . \(\frac{x-1}{12}-\frac{2x-12}{14}=\frac{3x-14}{25}-\frac{4x-25}{27}\)
2 . \(\frac{3}{x-1}+\frac{4}{x-2}=\frac{5}{x-3}+\frac{6}{x-4}\)
3 . \(\frac{2x-1}{2}+\frac{2x+1}{3}=\frac{2x+7}{6}+\frac{2x+9}{7}\)
4 . \(\frac{x^2+x+4}{2}+\frac{x^2+x+7}{3}=\frac{x^2+x+13}{5}+\frac{x^2+x+16}{6}\)
1 . \(\frac{x-1}{12}-\frac{2x-12}{14}=\frac{3x-14}{25}-\frac{3x-12}{27}\)
2 . \(\frac{2x-1}{2}+\frac{2x+1}{3}=\frac{2x+7}{6}+\frac{2x+9}{7}\)
3 . \(\frac{x^2+x+4}{2}+\frac{x^2+x+7}{3}=\frac{x^2+x+13}{5}+\frac{x^2+x+16}{6}\)
4 . \(\frac{201-x}{99}+\frac{203-x}{97}+\frac{205-x}{95}+3=0\)
1\(\frac{x-1}{12}-\frac{2x-12}{14}=\frac{3x-14}{25}-\frac{\: 4x-25}{27}\)
Ta có : \(\frac{x-1}{12}-\frac{2x-12}{14}=\frac{3x-14}{25}-\frac{4x-25}{27}\)
=> \(\frac{x-1}{12}-1-\frac{2x-12}{14}-1=\frac{3x-14}{25}-1-\frac{4x-25}{27}-1\)
=> \(\frac{x-13}{12}-\frac{2x-26}{14}=\frac{3x-39}{25}-\frac{4x-52}{27}\)
=> \(\frac{x-13}{12}-\frac{2\left(x-13\right)}{14}=\frac{3\left(x-13\right)}{25}-\frac{4\left(x-13\right)}{27}\)
=> \(\frac{x-13}{12}-\frac{2\left(x-13\right)}{14}-\frac{3\left(x-13\right)}{25}+\frac{4\left(x-13\right)}{27}=0\)
=> \(\left(x-13\right)\left(\frac{1}{12}-\frac{2}{14}-\frac{3}{25}+\frac{4}{27}\right)=0\)
=> \(x-13=0\)
=> \(x=13\)
Vậy phương trình trên có nghiệm là \(S=\left\{13\right\}\)
a)frac{x+1}{5}+frac{x+1}{6}+frac{x+1}{7}frac{x+1}{8}+frac{x+1}{9}
b)frac{x+6}{2015}+frac{x+5}{2016}+frac{x+4}{2017}frac{x+3}{2018}+frac{x+2}{2019}+frac{x+1}{2010}
c)frac{x+6}{2016}+frac{x+7}{2017}+frac{x+8}{2018}frac{x+9}{2019}+frac{x+10}{2020}+1
d)frac{x-90}{10}+frac{x-76}{12}+frac{x-58}{14}+frac{x-36}{16}+frac{x-15}{17}15
ai xong nhanh nhất và đúng em xin gửi 2 SP ạ
Đọc tiếp
a)\(\frac{x+1}{5}+\frac{x+1}{6}+\frac{x+1}{7}=\frac{x+1}{8}+\frac{x+1}{9}\)
b)\(\frac{x+6}{2015}+\frac{x+5}{2016}+\frac{x+4}{2017}=\frac{x+3}{2018}+\frac{x+2}{2019}+\frac{x+1}{2010}\)
c)\(\frac{x+6}{2016}+\frac{x+7}{2017}+\frac{x+8}{2018}=\frac{x+9}{2019}+\frac{x+10}{2020}+1\)
d)\(\frac{x-90}{10}+\frac{x-76}{12}+\frac{x-58}{14}+\frac{x-36}{16}+\frac{x-15}{17}=15\)
ai xong nhanh nhất và đúng em xin gửi 2 SP ạ
a) \(\frac{x+1}{5}+\frac{x+1}{6}+\frac{x+1}{7}=\frac{x+1}{8}+\frac{x+1}{9}\)
\(\Leftrightarrow\frac{x+1}{5}+\frac{x+1}{6}+\frac{x+1}{7}-\frac{x+1}{8}-\frac{x+1}{9}=0\)
\(\Leftrightarrow\left(x+1\right).\left(\frac{1}{5}+\frac{1}{6}+\frac{1}{7}-\frac{1}{8}-\frac{1}{9}\right)=0\)
\(\Leftrightarrow x+1=0\)
\(\Leftrightarrow x=0-1\)
\(\Rightarrow x=-1\)
Vậy \(x=-1.\)
Mình chỉ làm câu a) thôi nhé.
Chúc bạn học tốt!
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Bình luận (4)
a)|3x-5|=(-2)2 \(b.\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{14}\)
\(c.\frac{x+4}{2014}+\frac{x+3}{2015}=\frac{x+2}{2016}+\frac{x+1}{2017}\)
Tim x
\(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\)
2/ tim x
\(\frac{x+2015}{5}+\frac{x+2016}{6}=\frac{x+2017}{7} +\frac{x+2018}{8}\)
3/ tim x
\(\frac{1}{3}+\frac{1}{6}+\frac{99}{101}+\frac{1}{15}+... +\frac{1}{x\left(2x+1\right)}=\frac{1}{10}\)
\(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\)
\(\Leftrightarrow\left(\frac{x+2015}{5}+1\right)+\left(\frac{x+2016}{4}+1\right)=\left(\frac{x+2017}{3}+1\right)+\left(\frac{x+2018}{2}+1\right)\)
\(\Leftrightarrow\frac{x+2020}{5}+\frac{x+2020}{4}-\frac{x+2020}{3}-\frac{x+2020}{2}=0\)
\(\Leftrightarrow\left(x+2020\right)\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\)
\(\Leftrightarrow x+2020=0\)vì \(\frac{1}{5}+\frac{1}{4}+\frac{1}{3}+\frac{1}{2}\ne0\)
\(\Leftrightarrow x=-2020\)
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Xem thêm câu trả lời
Tìm x\(\inℝ\)biết:
\(\frac{x+1}{2018}=\frac{x+2}{2017}+\frac{x+3}{2016}=\frac{3x+12}{2015}\)
