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\(\frac{x-2}{27}\)+\(\frac{x-3}{26}\)+\(\frac{x-4}{25}\)+\(\frac{x-44}{5}\)=1
<=> \(\frac{x-2}{27}-1\)+\(\frac{x-3}{26}-1\)+\(\frac{x-4}{25}-1\)+\(\frac{x-44}{5}+3\)=1
<=> \(\frac{x-29}{27}\)+\(\frac{x-29}{26}\)+\(\frac{x-29}{25}\)+\(\frac{x-29}{5}\)=1
<=> ( x- 29 ) \(\left(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{5}\right)\)=1
phần sau tự làm tp nhé!
\(\frac{x+2}{x}=\frac{1}{2}\)
\(\Rightarrow2.\left(x+2\right)=x\)
\(\Rightarrow2x+4=x\)
\(\Rightarrow2x-x=-4\)
\(\Rightarrow x=-4\)
\(b,\frac{x+3}{x+4}=\frac{3}{5}\)
\(\Rightarrow5.\left(x+3\right)=3.\left(x+4\right)\)
\(\Rightarrow5x+15=3x+12\)
\(\Rightarrow5x-3x=12-15\)
\(\Rightarrow2x=-3\)
\(\Rightarrow x=-\frac{3}{2}\)
\(\frac{x+5}{6}=\frac{6}{x+5}\)
\(\Rightarrow\left(x+5\right).\left(x+5\right)=6.6\)
\(\Rightarrow\left(x+5\right)^2=6^2\)
\(\Rightarrow\orbr{\begin{cases}x+5=6\\x+5=-6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=-11\end{cases}}\)
Vậy x = 1 hoặc x= - 11
\(\frac{x+1}{3}=\frac{12}{x+1}\)
\(\Rightarrow\left(x+1\right).\left(x+1\right)=3.12\)
\(\Rightarrow\left(x+1\right)^2=36\)
\(\Rightarrow\left(x+1\right)^2=6^2\)
\(\Rightarrow\orbr{\begin{cases}x+1=6\\x+1=-6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=5\\x=-7\end{cases}}\)
\(\frac{-3}{7}.\frac{5}{12}+\frac{3}{7}.\frac{7}{12}+\frac{-3}{12}\)
\(=\frac{3}{7}.\frac{-5}{12}+\frac{3}{7}.\frac{7}{12}+\frac{-1}{4}\)
\(=\frac{3}{7}.\left(\frac{-5}{12}+\frac{7}{12}\right)+\frac{-1}{4}\)
\(=\frac{3}{7}.\frac{2}{12}+\frac{-1}{4}\)
\(=\frac{3}{7}.\frac{1}{6}+\frac{-1}{4}\)
\(=\frac{3}{42}+\frac{-1}{4}\)
\(=\frac{1}{14}-\frac{1}{4}\)
\(=\frac{4}{56}-\frac{14}{56}\)
\(=\frac{-10}{56}=\frac{-5}{28}\)
a) x - 2/3 = -5/12
=> x = -5/12 + 2/3
=> x = 1/4
b) \(\frac{x+5}{3}=\frac{5}{9}\)
=> \(\frac{3\left(x+5\right)}{9}=\frac{5}{9}\)
=> 3(x + 5) = 5
=> x + 5 = 5 : 3
=> x + 5 = 5/3
=> x = 5/3 - 5
=> x = 20/3
c) \(\frac{x-2}{27}=\frac{3}{x-2}\)
=> (x - 2)(x - 2) = 27 . 3
=> (x - 2)2 = 81
=> (x - 2)2 = 92
=> \(\orbr{\begin{cases}x-2=9\\x-2=-9\end{cases}}\)
=> \(\orbr{\begin{cases}x=11\\x=-7\end{cases}}\)
Vậy ...
a, \(\frac{x}{5}=\frac{2}{3}\Leftrightarrow x=\frac{10}{3}\)
b, \(\frac{x}{-24}=\frac{20}{42}\Leftrightarrow x=-\frac{80}{7}\)
c, \(\frac{x+3}{15}=\frac{1}{3}\Leftrightarrow3x+9=15\Leftrightarrow x=2\)
d, \(\frac{2}{3}x-\frac{3}{2}x=\frac{5}{12}\Leftrightarrow x\left(\frac{2}{3}-\frac{3}{2}\right)=\frac{5}{12}\Leftrightarrow-\frac{5}{6}x=\frac{5}{12}\Leftrightarrow x=-\frac{1}{2}\)
giải nhanh và chính xác giùm mừn nha, iu các pạn nhìu.......
x=32 nha bn