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\(a,\Rightarrow\left(4x-1\right)^2=25=5^2=\left(-5\right)^2\\ \Rightarrow\left[{}\begin{matrix}4x-1=5\\4x-1=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-1\end{matrix}\right.\\ b,\Rightarrow2^x\left(1+2^3\right)=144\\ \Rightarrow2^x=144:9=16=2^4\Rightarrow x=4\\ c,\Rightarrow3^{2x+3}=3^{2\left(x+3\right)}\\ \Rightarrow2x+3=2x+6\Rightarrow0x=3\left(vô.lí\right)\\ \Rightarrow x\in\varnothing\)
Bài 4:
a) \(\dfrac{x}{2}=\dfrac{2}{4}\)
\(\Rightarrow\dfrac{x}{2}=\dfrac{1}{2}\)
\(\Rightarrow x=2\)
Vậy: \(x=2\)
b) \(-\dfrac{1}{5}=\dfrac{2}{x}\)
\(\Rightarrow x=\dfrac{-5.2}{1}=-10\)
Vậy: \(x=-10\)
c) \(\dfrac{x}{5}=\dfrac{5}{x}\)
\(\Rightarrow x^2=25\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x=-5\end{matrix}\right.\)
Vậy: \(x\in\left\{5;-5\right\}\)
a: =>3x+3=5x-25
=>-2x=-28
hay x=14
b: =>3x+6=-4x+20
=>7x=14
hay x=2
a) Ta có: 12-5x=37
\(\Leftrightarrow5x=-25\)
hay x=-5
Vậy: x=-5
b) Ta có: 7-3|x-2|=-11
\(\Leftrightarrow3\left|x-2\right|=18\)
\(\Leftrightarrow\left|x-2\right|=6\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=6\\x-2=-6\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=-4\end{matrix}\right.\)
Vậy: \(x\in\left\{8;-4\right\}\)
c) Ta có: \(x+\dfrac{2}{8}=-\dfrac{15}{4}\)
\(\Leftrightarrow x=\dfrac{-15}{4}-\dfrac{2}{8}=\dfrac{-15}{4}-\dfrac{1}{4}\)
hay x=-4
Vậy: x=-4
a, \(\Leftrightarrow5x=12-37=-25\)
\(\Leftrightarrow x=-\dfrac{25}{5}=-5\)
Vậy ...
b, \(\Leftrightarrow3\left|x-2\right|=7+11=18\)
\(\Leftrightarrow\left|x-2\right|=\dfrac{18}{3}=6\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=6\\x-2=-6\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=8\\x=-4\end{matrix}\right.\)
Vậy ...
c, \(\Leftrightarrow x=-\dfrac{15}{4}-\dfrac{2}{8}=-4\)
Vậy ..
a) 4 chia hết cho x nên x là ước nguyên của 4 tức là \(x \in \left\{ {1; - 1;2;-2;4;-4} \right\}\)
b) Vì -13 chia hết cho x+2 nên \(x+2 \in Ư(-13) =\)\(\left\{ {1; - 1;13; - 13} \right\}\)
Với \(x + 2 = 1 \Rightarrow x = 1 - 2 = - 1\)
Với \(x + 2 = - 1 \Rightarrow x = - 1 - 2 = - 3\)
Với \(x + 2 = 13 \Rightarrow x = 13 - 2 = 11\)
Với \(x + 2 = - 13 \Rightarrow x = - 13 - 2 = - 15\)
Vậy \(x \in \left\{ {-1; - 3;11;-15} \right\}\)
\(a,\left(2x-5\right)+17=6\\ \Rightarrow2x-5=-11\\ \Rightarrow2x=-6\\ \Rightarrow x=-3\\ b,10-2\left(4-3x\right)=-4\\ \Rightarrow2\left(4-3x\right)=14\\ \Rightarrow4-3x=7\\ \Rightarrow3x=-3\\ \Rightarrow x=-1\\ c,24:\left(3x-2\right)=-3\\ \Rightarrow3x-2=-8\\ \Rightarrow3x=-6\\ \Rightarrow x=-2\\ d,5-2x=-17+12\\ \Rightarrow5-2x=-5\\ \Rightarrow2x=10\\ \Rightarrow x=5\)
a: =>2x-5=-11
=>2x=-6
hay x=-3
b: =>2(4-3x)=14
=>4-3x=7
=>3x=-3
hay x=-1
c: =>3x-2=-8
=>3x=-6
hay x=-2
a: x^2=16
=>x=4 hoặc x=-4
b: =>x^2=144
=>x=12 hoặc x=-12
a)x^2 =16
x =4^2
b)x^2+(-4) = 140
x^2 = 140-(-4)
x^2 = 144
x^2 =12^2