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Cách 1 : -0,52 : x = -9,36 : 16,83
-0,52 : x = -\(\frac{104}{187}\)
x = -0,25 : -\(\frac{104}{187}\)
x = \(\frac{187}{416}\)
Cách 2 : -0,52 : x = -9,36 : 16,83
=> \(\frac{-0.25}{x}\) = \(\frac{-9.36}{16.83}\)
=>x. (-9,36) = -0,25. 16,83
x.(-9,36) = -4,2075
x = -4,2075 : (-9,36)
x = \(\frac{187}{416}\)
a.\(\dfrac{1}{3}\) + x = \(\dfrac{5}{6}\)
x = \(\dfrac{5}{6}\) - \(\dfrac{1}{3}\)
x = \(\dfrac{1}{2}\)
b. | x-1| - \(\dfrac{2}{5}\) = \(\dfrac{11}{10}\)
| x-1| = \(\dfrac{11}{10}\) + \(\dfrac{2}{5}\)
|x-1| = \(\dfrac{3}{2}\)
\(\left[{}\begin{matrix}x-1=\dfrac{3}{2}\\x-1=-\dfrac{3}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{3}{2}+1\\x=-\dfrac{3}{2}+1\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
c, \(\dfrac{1}{3}\) + \(\dfrac{2}{3}\) ( \(\dfrac{x}{2}\) + 3) = 1
\(\dfrac{2}{3}\) (\(\dfrac{x}{2}\) + 3) = 1 - \(\dfrac{1}{3}\)
\(\dfrac{2}{3}\) ( \(\dfrac{x}{2}\) + 3) = \(\dfrac{2}{3}\)
\(\dfrac{x}{2}\) + 3 = 1
\(\dfrac{x}{2}\) = 1 - 3
\(\dfrac{x}{2}\) = -2
\(x\) = -4
d, \(\dfrac{x+2}{3}\) = \(\dfrac{27}{x+2}\)
(x+2)2 = 27.3
(x+2) =92
\(\left[{}\begin{matrix}x+2=9\\x+2=-9\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=7\\x=-11\end{matrix}\right.\)
a: \(\Leftrightarrow\left(x-1\right)^2=81\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=9\\x-1=-9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=10\\x=-8\end{matrix}\right.\)
\(-0.5x:x=-9.36:16.38\)
\(\Leftrightarrow-0.5x:x=-\frac{4}{7}\)
\(\Leftrightarrow-\frac{1}{2}x:x=-\frac{4}{7}\Leftrightarrow\left(-\frac{1}{2}:1\right)x=-\frac{4}{7}\)
\(\Leftrightarrow-\frac{1}{2}x=-\frac{4}{7}\Leftrightarrow x=\left(-\frac{4}{7}\right):\left(-\frac{1}{2}\right)\)
\(x=1\frac{1}{7}\Leftrightarrow x=\frac{8}{7}\)
xin lỗi tai mik lười nên mik viết nha pạn ...
- bạn tính phép tính về bên phải trước
- rồi lấy -0,5 chia cho kết qur vừa tìm là ra x nha
~ hok tốt ~
b) \(\left|x-1\right|-2=5\)
=> \(\left|x-1\right|=5+2\)
=> \(\left|x-1\right|=7\)
=> \(\left[{}\begin{matrix}x-1=7\\x-1=-7\end{matrix}\right.\) => \(\left[{}\begin{matrix}x=7+1\\x=\left(-7\right)+1\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=8\\x=-6\end{matrix}\right.\)
Vậy \(x\in\left\{8;-6\right\}.\)
Mình chỉ làm câu b) thôi nhé.
Chúc bạn học tốt!
a, \(\left(x-2\right)^2-1,16=0\)
\(\Leftrightarrow x^2-4x+4-1,16=0\)
\(\Leftrightarrow x^2-4x+2,84=0\)
\(\Leftrightarrow x^2-4x+\frac{71}{25}=0\)
\(\Leftrightarrow25x^2-100x+71=0\)
\(\Leftrightarrow x=\frac{-\left(-100\right)\pm\sqrt{\left(-100\right)^2-4.25.71}}{50}\)
\(\Leftrightarrow x=\frac{100\pm\sqrt{10000-7100}}{50}\)
\(\Leftrightarrow x=\frac{100\pm10\sqrt{29}}{50}\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{10+\sqrt{29}}{5}\\x=\frac{10-\sqrt{29}}{5}\end{matrix}\right.\)
b,\(|x-1|-2=5\)
\(\Leftrightarrow|x-1|=7\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=7\\x-1=-7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=8\\x=-6\end{matrix}\right.\)
a) \(\dfrac{3,5}{15}=\dfrac{-2}{x}\)
\(\Rightarrow x=\dfrac{15.-2}{3,5}\)
\(\Rightarrow x=-8,57\)
b) \(2\left(3x-2\right)-3\left(x-2\right)-=-1\)
\(\Rightarrow6x-4-3x+6=-1\)
\(\Rightarrow6x-3x=-1+4-6\)
\(\Rightarrow3x=-3\)
\(\Rightarrow x=-\dfrac{3}{3}=-1\)
a) \(\dfrac{x.2}{-15}=\dfrac{-5}{3}\)
\(\dfrac{x.2}{-15}=\dfrac{25}{-15}\)
x.2=25
x=12,5
b) \(\dfrac{x-1}{-12}=\dfrac{-3}{x-1}\)
(x-1)2=-3.(-12)
(x-1)2=36
⇒(x-1)2\(\Rightarrow\left[{}\begin{matrix}x-1=6\\x-1=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=7\\x=-5\end{matrix}\right.\)
a) \(\frac{x}{27}=-\frac{2}{3}.6\)
\(\frac{x}{27}=-4\)
\(x:27=-4\)
\(x=-4.27\)
\(x=-108\)
Rồi tương tự nha