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\(\frac{1}{2}\left(\frac{4}{9}-x\right)-\frac{3}{2}\left(16-x\right)+\frac{1}{2}\left(5x+10\right)=0\)
\(\Leftrightarrow\frac{2}{9}-\frac{1}{2}x-24+\frac{3}{2}x+\frac{5}{2}x+5=0\)
\(\Leftrightarrow-\frac{169}{9}=\frac{7}{2}x\Leftrightarrow x=-\frac{338}{63}\)
Sai thì thông cảm cho mk nha
\(\frac{x+2}{4}=\frac{16}{x+2}\Rightarrow\left(x+2\right)^2=16\times4\)
<=>(x+2)2=64
=>x+2=\(\sqrt{64}\)
<=>x+2=8
=>x=6
nhé
Theo đề ta có:
(x+2)2 = 64
Ta có 2 trường hợp:
+ Trường hợp 1: x+2=8 => x=6
+Trường hợp 2: x+2= -8 => x=-10
Vậy x=6 và -10
\(\left[\frac{4}{7}-\frac{1}{2}.x\right]^3=2^3\)
\(\Rightarrow\frac{4}{7}-\frac{1}{2}.x=2\)
\(\frac{1}{2}.x=-\frac{10}{7}\)
\(x=-\frac{20}{7}\)
a)Ta có:
\(\left(x-3,5\right)^2+\left(y-\dfrac{1}{10}\right)^4\le0\)
\(\Rightarrow x-3,5=y-\dfrac{1}{10}=0\Leftrightarrow\left\{{}\begin{matrix}x=3,5\\y=\dfrac{1}{10}=0,1\end{matrix}\right.\)
b) Ta có:
\(\left(5x+1\right)^2=\dfrac{36}{49}\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{7}\\5x+1=\dfrac{-6}{7}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{35}\\x=\dfrac{-13}{35}\end{matrix}\right.\)
b: ta có: \(\left(5x+1\right)^2=\dfrac{36}{49}\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{7}\\5x+1=-\dfrac{6}{7}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}5x=\dfrac{-1}{7}\\5x=\dfrac{-13}{7}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{35}\\x=\dfrac{-13}{35}\end{matrix}\right.\)
Ta có |x + 2|x - 1/2|| = 2
=> \(\orbr{\begin{cases}x+2\left|x-\frac{1}{2}\right|=2\\x+2\left|x-\frac{1}{2}\right|=-2\end{cases}}\Rightarrow\orbr{\begin{cases}2\left|x-\frac{1}{2}\right|=2-x\\2\left|x-\frac{1}{2}\right|=-2-x\end{cases}}\)
Nếu 2|x - 1/2| = 2 - x (1)
ĐKXĐ \(2-x\ge0\Rightarrow x\le2\)
Khi đó (1) <=> 2(x - 1/2) = 2 - x
=> 2x - 1 = 2 - x
=> 2x + x = 1 + 2
=> 3x = 3
=> x = 1 (tm)
Nếu 2|x - 1/2| = -2 - x (2)
ĐKXĐ : \(-2-x\ge0\Rightarrow x\le-2\)
Khi đó (2) <=> 2(x - 1/2) = -2 - x
=> 2x - 1 = -2 - x
=> 3x = -1
=> x = -1/3 (loại)
Vậy x = 1
\(\left|x+2\right|x-\frac{1}{2}=2\)
\(\Rightarrow\left|x+2\right|x=\frac{5}{2}\)
\(\Rightarrow\left|x+2\right|=\frac{5}{2}:x=\frac{5}{2x}\)
\(\Leftrightarrow\orbr{\begin{cases}x+2=\frac{5}{2x}\\x+2=-\frac{5}{2x}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{5-4x}{2x}\\x=\frac{-5-4x}{2x}\end{cases}}\)
Tới đây thì chịu:)