giúp mik vs ạ mn ơiiii
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Bài 5:
a) \(23⋮\left(x-2\right)\Leftrightarrow x-2\inƯ\left(23\right)=\left\{-23,-1,1,23\right\}\)
\(\Leftrightarrow x\in\left\{-21,1,3,25\right\}\).
b) \(2x+1\inƯ\left(-12\right)\)mà \(2x+1\)là số lẻ nên \(2x+1\in\left\{-3,-1,1,3\right\}\)
\(\Leftrightarrow x\in\left\{-2,-1,0,1\right\}\).
c) \(x-1=x+2-3⋮\left(x+2\right)\Leftrightarrow3⋮\left(x+2\right)\)
mà \(x\)là số nguyên nên \(x+2\inƯ\left(3\right)=\left\{-3,-1,1,3\right\}\Leftrightarrow x\in\left\{-5,-3,-1,1\right\}\).
Bài 4:
a) \(-18⋮3,15⋮3\Rightarrow-18a+15b⋮3\).
b) Theo a) ta có \(-18a+15b⋮3\)mà \(-2015⋮̸3\)nên không tồn tại hai số nguyên \(a,b\)thỏa mãn ycbt.
c. \(\left|\dfrac{8}{4}-\left|x-\dfrac{1}{4}\right|\right|-\dfrac{1}{2}=\dfrac{3}{4}\)
\(\Rightarrow\left[{}\begin{matrix}\left|\dfrac{8}{4}-x+\dfrac{1}{4}\right|-\dfrac{1}{2}=\dfrac{3}{4}\\\left|\dfrac{8}{4}+x-\dfrac{1}{4}\right|-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\left|\dfrac{9}{4}-x\right|-\dfrac{1}{2}=\dfrac{3}{4}\\\left|\dfrac{7}{4}+x\right|-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}\left[{}\begin{matrix}\dfrac{9}{4}-x-\dfrac{1}{2}=\dfrac{3}{4}\\x=\dfrac{9}{4}-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\\\left[{}\begin{matrix}\dfrac{7}{4}+x-\dfrac{1}{2}=\dfrac{3}{4}\\-\dfrac{7}{4}-x-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\left[{}\begin{matrix}x=1\\x=\dfrac{7}{2}\end{matrix}\right.\\\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=-3\end{matrix}\right.\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{7}{2}\\x=-3\end{matrix}\right.\)
Ở nơi x=9/4-1/2 là x-9/4-1/2 nha
a. -1,5 + 2x = 2,5
<=> 2x = 2,5 + 1,5
<=> 2x = 4
<=> x = 2
b. \(\dfrac{3}{2}\left(x+5\right)-\dfrac{1}{2}=\dfrac{4}{3}\)
<=> \(\dfrac{3}{2}x+\dfrac{15}{2}-\dfrac{1}{2}=\dfrac{4}{3}\)
<=> \(\dfrac{9x}{6}+\dfrac{45}{6}-\dfrac{3}{6}=\dfrac{8}{6}\)
<=> 9x + 45 - 3 = 8
<=> 9x = 8 + 3 - 45
<=> 9x = -34
<=> x = \(\dfrac{-34}{9}\)