\(\frac{x=.....}{7=21}\)
vậy x = mấy
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Ta có:\(\frac{x+21}{1998}-\frac{x+25}{1994}+\frac{x+63}{652}-\frac{x+75}{648}=0\)
\(\Rightarrow\frac{x+21}{1998}-\frac{x+25}{1994}+\frac{x+63}{652}-\frac{x+75}{648}+4-4=0\)
\(\Rightarrow\frac{x+21}{1998}+1-\frac{x+25}{1994}-1+\frac{x+63}{652}+3-\frac{x+75}{648}-3=0\)
\(\Rightarrow\frac{x+2019}{1998}-\frac{x+2019}{1994}-\frac{x+2019}{652}+\frac{x+2019}{648}=0\)
\(\Rightarrow\left(x+2019\right)\times\left(\frac{1}{1998}-\frac{1}{1994}+\frac{1}{652}-\frac{1}{648}\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+2019=0\\\frac{1}{1998}-\frac{1}{1994}+\frac{1}{652}-\frac{1}{648}=0\end{cases}}\)
Vì \(\frac{1}{1998}-\frac{1}{1994}+\frac{1}{652}-\frac{1}{648}\ne0\)
\(\Rightarrow x+2019=0\)
\(\Rightarrow x=-2019\)
Vậy \(x=-2019\)
a) x - 19 = -21 b. x - 21 = -30 c. x - (-21) = 7
x = -21 + 19 x = -30 + 21 x + 21 = 7
x = -2 x = -9 x = 7 - 21
vậy x = -2 Vậy x = -9 Vậy x = - 14
a)\(\frac{5}{21}\)+\(\frac{-3}{7}\)<\(\frac{x}{21}\)<\(\frac{-2}{7}\)+\(\frac{8}{21}\)
\(\Rightarrow\)\(\frac{-4}{21}\)<\(\frac{x}{21}\)<\(\frac{2}{21}\)
\(\Rightarrow\)\(\frac{x}{21}\)\(\in\)\(\left\{\frac{-3}{21};\frac{-2}{21};\frac{-1}{21};\frac{0}{21};\frac{1}{21}\right\}\)
vậy x\(\in\)\(\left\{-3;-2;-1;0;1\right\}\)
Ta có: \(\frac{x-241}{17}+\frac{x-220}{19}+\frac{x-195}{21}+\frac{x-170}{23}=10\)
\(\Rightarrow\frac{x-241}{17}+\frac{x-220}{19}+\frac{x-195}{21}+\frac{x-170}{23}-10=0\)
\(\Leftrightarrow\left(\frac{x-241}{17}-1\right)+\left(\frac{x-220}{19}-2\right)+\left(\frac{x-195}{21}-3\right)+\left(\frac{x-170}{23}-4\right)=0\)
\(\Leftrightarrow\frac{x-258}{17}+\frac{x-258}{19}+\frac{x-258}{21}+\frac{x-258}{23}=0\)
\(\Leftrightarrow\left(x-258\right)\left(\frac{1}{17}+\frac{1}{19}+\frac{1}{21}+\frac{1}{23}\right)=0\)
\(\Leftrightarrow\left(x-258\right)=0\)
\(\Rightarrow x=258\)
Vậy x=258
=>(x-7)\(\times\)(\(\frac{1}{20}+\frac{1}{21}+\frac{1}{32}-\frac{1}{23}+\frac{1}{54}\))=0
Mà \(\frac{1}{20}+\frac{1}{21}+\frac{1}{32}-\frac{1}{23}+\frac{1}{54}\)\(\ne\)0
=>x-7=0
=>x=7
Vậy x=7
chúc bn học tốt. nhớ like cho mik nha
A) \(\frac{7}{\left(x+3\right)\left(x+10\right)}+\frac{11}{\left(x+10\right)\left(x+21\right)}+\frac{13}{\left(x+21\right)\left(x+34\right)}\)
\(=\frac{\left(x+10\right)-\left(x+3\right)}{\left(x+3\right)\left(x+10\right)}+\frac{\left(x+21\right)-\left(x+10\right)}{\left(x+10\right)\left(x+21\right)}+\frac{\left(x+34\right)-\left(x+21\right)}{\left(x+21\right)\left(x+34\right)}\)
\(=\frac{1}{x+3}-\frac{1}{x+10}+\frac{1}{x+10}-\frac{1}{x+21}+\frac{1}{x+21}-\frac{1}{x+34}\)
\(=\frac{1}{x+3}-\frac{1}{x+34}\)
\(=\frac{\left(x+34\right)-\left(x+3\right)}{\left(x+3\right)\left(x+34\right)}\)\(=\frac{x}{\left(x+3\right)\left(x+34\right)}\)
\(\Rightarrow\left(x+34\right)-\left(x+3\right)=x\)
\(\Rightarrow x=31\)
Vậy, x = 31
Bạn áp dụng: \(\frac{k}{x\cdot\left(x+k\right)}=\frac{1}{x}-\frac{1}{x+k}\) với \(x,k\inℝ;x\ne0;x\ne-k\)
Chứng minh: \(\frac{1}{x}-\frac{1}{x+k}=\frac{x+k}{x\left(x+k\right)}-\frac{x}{x\left(x+k\right)}=\frac{x+k-x}{x\left(x+k\right)}=\frac{k}{x\left(x+k\right)}\)
đề đúng phải như này chứ:
\(\frac{x}{7}=\frac{...}{21}\)
\(\Rightarrow\frac{x}{7}=\frac{3}{21}\)
\(\Rightarrow x=3\)
chắc là 3😣 😉