200-[(-43)+/x-3/+200-(-17)]=2/x-3/
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a) \(5x-65=5.3^2 \\ 5x-65=45\\5x=45+65\\5x=110\\x=22\)
b) \(200-(2x+6)=4^3\\2x+6=200-4^3\\2x+6=136\\2x=130\\x=65\)
c) \(2(x-51)=2.2^3+20\\2(x-51)=16+20\\2(x-51)=36\\x-51=18\\x=51+18=69\)
d) \(135-5(x+4)=35\\5(x+4)=135-45\\5(x-4)=90\\x-4=18\\x=18+4=22\)
e) \((2x-4)(15-3x)=0\\2(x-2).3(5-x)=0\\(x-2)(5-x)=0\\ \left[ \begin{array}{l}x-2=0\\5-x=0\end{array} \right. \\ \left[ \begin{array}{l}x=2\\x=5\end{array} \right.\)
f) \(2^{x+1} . 2^{2014}=2^{2016} \\ (2^{x+1} . 2^{2014}):2^{2014}=2^{2016} :2^{2014} \\ 2^{x=1}=2^{2016-2014} \\2^{x+1}=2^2\\x+1=2\\x=1\)
g) \(15+(x-1)^3=43\\(x-1)^3=15-42\\(x-1)^3=-27\\(x-1)^3=(-3)^3\\x-1=-3\\x=-2\)
h) \(15-x=17+(-9)\\15-x=17-9\\15-x=8\\x=15-8\\x=7\)
i) \(|x-5|=|-7|+|-4|\\|x-5|=7+4\\|x-5|=11\\ \left[ \begin{array}{l}x-5=11\\x-5=-11\end{array} \right. \\ \left[ \begin{array}{l}x=16\\x=-6\end{array} \right.\)
k) \(|x-3|-12=-9+|-7|\\|x-3|-12=-9+7\\|x-3|-12=-2\\|x-3|=10 \\ \left[ \begin{array}{l}x-3=10\\x-3=-10\end{array} \right. \\ \left[ \begin{array}{l}x=13\\x=-7\end{array} \right.\)
\(3^x.3-43=200\\ \Rightarrow3^{x+1}=243\\ \Rightarrow3^{x+1}=3^5\\ \Rightarrow x+1=5\\ \Rightarrow x=4.\)
a: =>3x-15-2x+6=51
=>x-9=51
=>x=60
b: =>432-2x+22+3x-15=200
=>x+439=200
=>x=-239
c: =>3x+17-4x+13=0
=>30-x=0
=>x=30
d: =>x-3-3x+6=-11-21=-32
=>-2x+3=-32
=>-2x=-35
=>x=35/2
\(3\cdot\left(x-5\right)-2\cdot\left(x-3\right)=51\)
\(\Rightarrow3x-15-2x+6=51\)
\(\Rightarrow x-9=51\)
\(\Rightarrow x=51+9\)
\(\Rightarrow x=60\)
b) \(432-2\cdot\left(x-11\right)+3\cdot\left(x-5\right)=200\)
\(\Rightarrow432-2x+22+3x-15=200\)
\(\Rightarrow x+439=200\)
\(\Rightarrow x=200-439\)
\(\Rightarrow x=-239\)
c) \(3x+17=4x-13\)
\(\Rightarrow4x-3x=17+13\)
\(\Rightarrow x=30\)
d) \(\left(x-3\right)+21=3\cdot\left(x-2\right)-11\)
\(\Rightarrow x-3+21=3x-6-11\)
\(\Rightarrow x+18=3x-17\)
\(\Rightarrow3x-x=18+17\)
\(\Rightarrow2x=35\)
\(\Rightarrow x=\dfrac{35}{2}\)
a, 2x = 17 + 15
2x = 32
2x = 25
=> x = 5
b, ( 7. x - 11 )3 = 25 . 52 + 200
( 7 . x - 11 )3 = 32 . 25 + 200
( 7 . x - 11 )3 = 800 + 200
( 7 . x - 11 )3 = 1000
( 7 . x - 11 )3 = 103
7 . x - 11 = 10
7 . x = 10 + 11
7 . x = 21
x = 21 : 7
x = 3
\(2^x\)-15=17
\(\Rightarrow\)\(2^x\)=17+15
\(\Rightarrow2^x\)=32
Vì \(2^6\)=32
\(\Rightarrow\)x=6
(7.x-11)^3=2^5.5^2+200
(7.x-11)^3=16.25+200
(7.x-11)^3=600
Xong bạn tìm số có có lập phương bằng 600 thế chắc là bạn tính dc rồi nhỉ!!!!!!!
có j kb vs mik ,mik hướng dẫn thêm cho
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
Học sinh nhẩm và ghi kết quả như sau:
200 x 2 = 400
200 x 4 = 800
100 x 5 = 500
300 x 2 =600
400 x 2 =800
500 x 1 =500
200 x 2 = 400 300 x 2 =600
200 x 4 = 800 400 x 2 =800
100 x 5 = 500 500 x 1 =500