12(x-3):3=43 + 23
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Ta có: \(12\cdot\left|x-1\right|:3=4^3+2^3\)
\(\Leftrightarrow\dfrac{12\left|x-1\right|}{3}=64+8=72\)
\(\Leftrightarrow4\left|x-1\right|=72\)
\(\Leftrightarrow\left|x-1\right|=18\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=18\\x-1=-18\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=19\\x=-17\end{matrix}\right.\)
Vậy: \(x\in\left\{19;-17\right\}\)
\(12|x-1|:3=4^3+2^3\)
\(12|x-1|:3=64+8\)
\(12|x-1|:3=72\)
\(12|x-1|=72.3\)
\(12|x-1|=216\)
\(|x-1|=216:12\)
\(|x-1|=18\)
\(\Rightarrow x-1 \in \{18;-18\}\)
\(\Rightarrow x \in \{19;-17\}\)
-Vậy \( x \in \{19;-17\}\)
12.(x – 1) : 3 = 43 – 23
12.(x-1):3=20
12.(x-1)=20x3=60
x-1=60:12=5
x=5+1=6 nha tranquanglinh
Bài 2: Tìm số tự nhiên x biết:
a) 12(x−1)∶3=43+23 c) (7x−11)3=23.52+200
b) 128−3(x+4)=23 d) 2x+2−2x=96
a) \(x+546=46\\ x=46-546\\ x=-500\)
b) \(2x-19\times3=27\\ 2x-57=27\\ 2x=27+57\\ 2x=84\\ x=84:2\\ x=42\)
c) \(x+12=23+3\times3^4\\ x+12=23+3\times81\\ x=23+243-12\\ x=254\)
d) \(x-12=3-3\times2^4\\ x-12=3-3\times16\\ x=3-48+12\\ x=-33\)
e) \(\left(27-x\right)\left(x+9\right)=0\\ \Rightarrow\left[{}\begin{matrix}27-x=0\\x+9=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=27\\x=-9\end{matrix}\right.\)
f) \(\left(-x\right)\left(x-43\right)=0\\ \Rightarrow\left[{}\begin{matrix}-x=0\\x-43=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=43\end{matrix}\right.\)
1: \(=75\left(27+25-2\right)=75\cdot50=3750\)
2: \(=15\left(23+37\right)+55=15\cdot60+55=955\)
3: \(=36\cdot14+36\cdot17+36\cdot69\)
\(=36\cdot100=3600\)
4: \(=200\cdot\left(32+68\right)=200\cdot100=20000\)
e)x-43=(57-x)-50.
Suy ra x-43=57-x-50=57-50-x=7-x
Suy ra x-43+x=7. suy ra2x=7+43=50
Nên x=50:2=25
f)-(x-3+84)=(x+70-71)-5.
Suy ra -x+3-84=x-1-5=x-6
Suy ra -x-81=x-6. suy ra -x-81+6=x.suy ra-x-75=x
Suy ra -x-x=75 nên -2x=75 suy ra x=-75/2=-37.5
g)2(x-23)-(x-43)=96-115.
Suy ra 2x-46-x+43=-19,
suy ra 2x-x-46+43=-19,
suy ra x-3=-19
Nên x=-19+3=-16
h)2(x-12)+13=x+(-14)=x-14.
Suy ra 2x-24+13=x-14,
suy ra 2x-11=x-14,
suy ra 2x-11+14=x=2x+3,
suy ra x-2x=3 nên -x=3
vậy x=-3
Đáp án là 21!
12.(x-3):3= 3=72