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\(=\frac{16}{3}x\frac{30}{7}=\frac{480}{21}=\frac{160}{7}\)
\(\frac{33}{5}:\frac{21}{4}=\frac{33}{5}x\frac{4}{21}=\frac{132}{105}=\frac{44}{35}\)
\(\text{a) }\frac{-4}{x-1}=\frac{x-1}{-9}\)
\(\Leftrightarrow\left(x-1\right).\left(x-1\right)=\left(-4\right).\left(-9\right)\)
\(\Leftrightarrow\left(x-1\right)^2=36\)
\(\Leftrightarrow x-1=\sqrt{36}\)
\(\Leftrightarrow x-1=6\)
\(\Leftrightarrow x=7\)
\(a,\frac{-4}{x-1}=\frac{x-1}{-9}\)
\(\Rightarrow(x-1)(x-1)=(-4)\cdot(-9)\)
\(\Rightarrow(x-1)^2=36\)
\(\Rightarrow(x-1)^2=6^2\)
\(\Rightarrow x-1=\pm6\)
\(\Rightarrow\hept{\begin{cases}x-1=6\\x-1=-6\end{cases}}\Rightarrow\hept{\begin{cases}x=7\\x=-5\end{cases}}\)
\(b,-1,75\cdot x+3\frac{3}{4}=-24\)
\(\Rightarrow-1,75\cdot x+3,75=-24\)
\(\Rightarrow-1,75\cdot x=-24-3,75\)
\(\Rightarrow-1,75\cdot x=-27,75\)
\(\Rightarrow x=-27,75:(-1,75)\)
Tính rồi tìm ra giá trị của x thôi :v
a: \(\Leftrightarrow\left(\dfrac{13}{4}:x\right)\cdot\left(-\dfrac{5}{4}\right)=\dfrac{-10}{6}-\dfrac{5}{6}=\dfrac{-15}{6}=\dfrac{-5}{2}\)
\(\Leftrightarrow\dfrac{13}{4}:x=\dfrac{5}{2}\cdot\dfrac{5}{4}=\dfrac{25}{8}\)
hay \(x=\dfrac{13}{4}:\dfrac{25}{8}=\dfrac{13}{4}\cdot\dfrac{8}{25}=\dfrac{26}{25}\)
b: \(\Leftrightarrow\dfrac{3}{4}:x=\dfrac{11}{36}-\dfrac{1}{4}=\dfrac{2}{36}=\dfrac{1}{18}\)
=>\(x=\dfrac{3}{4}:\dfrac{1}{18}=\dfrac{54}{4}=\dfrac{27}{2}\)
c: \(\Leftrightarrow\left(-\dfrac{6}{5}+x\right):\left(-3.6\right)=-\dfrac{7}{4}+\dfrac{1}{4}\cdot8=\dfrac{1}{4}\)
=>x-6/5=-9/10
=>x=3/10
Hỗn số (3 1/3 + 2,5) : ( hỗn số 3 1/6 - hỗn số 4 1/5 ) - 11/31
=(10/3+2,5)/(19/6-21/5)-11/31
=(17,5/3)/(-31/30)-11/31
=-175/31-11/31
=-186/31
=-6