32+(3x-6).3=34
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3ˣ - 3⁴ : 3² = 234
3ˣ - 9 = 234
3ˣ = 234 + 9
3ˣ⁼ = 243
3ˣ = 3⁵
x = 5
\(3^x-3^4:3^2=243\)
\(\Rightarrow3^x-3^{4-2}=234\)
\(\Rightarrow3^x-3^2=234\)
\(\Rightarrow3^x=234+9\)
\(\Rightarrow3^x=243\)
\(\Rightarrow3^x=3^5\)
\(\Rightarrow x=5\)
\(16\cdot\frac{x-1}{4}=0\)
\(\Rightarrow\frac{x-1}{4}=0\)
\(\Rightarrow x-1=0\)
\(\Rightarrow x=1\)
vậy_
32(x - 8) = 32
=> x - 8 = 32 : 32
=> x - 8 = 1
=> x = 9
vậy_
112 - (x - 34) = 97
=> x - 34 = 112 - 97
=> x - 34 = 15
=> x = 49
vậy_
181 - (210 - x) = 119
=> 210 - x = 181 - 119
=> 210 - x = 62
=> x = 148
vậy_
\(\left(3x-1\right)\left(x-6\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3x-1=0\\x-6=0\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=6\end{cases}}}\)
vậy_
2x = 4
=> 2x = 22
=> x = 2
vậy_
43x = 64
=> 43x = 43
=> 3x = 3
=> x = 1
vậy_
\(a,\Rightarrow x=3\\ b,\Rightarrow2x-1=2\Rightarrow x=\dfrac{3}{2}\\ c,\Rightarrow\left[{}\begin{matrix}x-2=4\\x-2=-4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=6\\x=-2\end{matrix}\right.\\ d,\Rightarrow\left[{}\begin{matrix}2x-3=3\\2x-3=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3\\x=0\end{matrix}\right.\\ e,\Rightarrow2x+5=3^2=9\Rightarrow x=2\)
a) \(x-2=-6\)
\(x=-6+2\)
\(x=-4\)
b) \(15-\left(x-7\right)=-21\)
\(x-7=36\)
\(x=43\)
c) \(4.\left(3x-4\right)-2=18\)
\(4\left(3x-4\right)=20\)
\(3x-4=5\)
\(3x=9\)
\(x=3\)
d) \(\left(3x-6\right)+3=32\)
\(3x-6=29\)
\(3x=29+6\)
\(3x=35\)
\(x=\frac{35}{3}\)
e) \(\left(3x-6\right).3=32\)
\(3x-6=\frac{32}{3}\)
\(3x=\frac{32}{3}+6\)
\(3x=\frac{50}{3}\)
\(x=\frac{50}{9}\)
f) \(\left(3x-6\right):3=32\)
\(3x-6=96\)
\(3x=102\)
\(x=34\)
g) \(\left(3x-6\right)-3=32\)
\(3x-6=35\)
\(3x=41\)
\(x=\frac{41}{3}\)
h) \(\left(3x-2^4\right).7^3=2.7^4\)
\(\left(3x-2^4\right)=2.7=14\)
\(\left(3x-16\right)=14\)
\(3x=14+16=30\)
\(x=10\)
i) \(\left|x\right|=\left|-7\right|\)
\(\left|x\right|=7\)
\(\Rightarrow\orbr{\begin{cases}x=7\\x=-7\end{cases}}\)
k) \(\left|x+1\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x+1=2\\x+1=-2\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\x=-3\end{cases}}}\)
l) \(\left|x-2\right|=3\)
\(\Rightarrow\orbr{\begin{cases}x-2=3\\x-2=-3\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=-1\end{cases}}}\)
m) \(x+\left|-2\right|=0\)
\(x+2=0\)
\(x=-2\)
o) \(72-3\left|x+1\right|=9\)
\(3\left|x-1\right|=63\)
\(\left|x-1\right|=21\)
\(\Rightarrow\orbr{\begin{cases}x-1=21\\x-1=-21\end{cases}\Rightarrow\orbr{\begin{cases}x=22\\x=-20\end{cases}}}\)
p) Ta có: \(\left|x-1\right|=3\)
\(\Rightarrow\orbr{\begin{cases}x-1=3\\x-1=-3\end{cases}}\)
mà \(x+1< 0\)
\(\Rightarrow x-1=-3\)
\(\Rightarrow x=-2\)
q) \(\left(x-2\right)\left(x+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x+4=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}}\)
hok tốt!!
Ta có: x 2 2 − 2 x + 3 2 = 0 ⇔ x = 1 x = 3 ; x 2 2 − 3 x + 4 = 0 ⇔ x = 2 x = 4
Từ đó ta phá dấu giá trị tuyệt đối của mỗi biểu thức như sau:
TH1: x ≤ 1
Phương trình thành: x 2 2 − 2 x + 3 2 + x 2 2 − 3 x + 4 ⇔ x 2 − 5 x + 19 4 = 0
⇔ x = 5 + 6 2 ( l ) x = 5 − 6 2 ( l )
TH2: 1 < x < 2
Phương trình thành: − x 2 2 + 2 x − 3 2 + x 2 2 − 3 x + 4 = 3 4 ⇔ x = 7 4 ( n )
TH3: 2 ≤ x ≤ 3
Phương trình thành: − x 2 2 + 2 x − 3 2 - x 2 2 + 3 x − 4 = 3 4
⇔ − x 2 + 5 x − 25 4 = 0 ⇔ x = 5 2 ( n )
TH4: 3 < x < 4
Phương trình thành: x 2 2 − 2 x + 3 2 + x 2 2 − 3 x + 4 = 3 4 ⇔ x = 13 4 ( n )
TH5: x ≥ 4
Phương trình thành: x 2 2 − 2 x + 3 2 + x 2 2 − 3 x + 4 = 3 4
⇔ x 2 − 5 x + 19 4 = 0 ⇔ x = 5 + 6 2 ( l ) x = 5 − 6 2 ( l )
Đáp án cần chọn là: D
1. \(x-8+32=68\)
\(x-8=68-32\)
\(x-8=36\)
\(x=36+8\)
\(x=44\)
_____
2. \(x+8+32=68\)
\(x+8=68-32\)
\(x+8=36\)
\(x=36-8\)
\(x=28\)
_____
3. \(98-x+34=43\)
\(98-x=43-34\)
\(98-x=9\)
\(x=98-9\)
\(x=89\)
_____
4. \(98+x-34=43\)
\(98+x=43+34\)
\(98+x=77\)
\(x=77-98\)
\(x=-21\)
_____
5. \(x:5:4=800\)
\(x:5=800.4\)
\(x:5=3200\)
\(x=3200.5\)
\(x=16000\)
_____
6. \(18+x=384:8\)
\(18+x=48\)
\(x=48-18\)
\(x=30\)
_____
7. \(\left(84,6-2\times x\right):3,02=5,1\)
\(84,6-2.x=5,1.3,02\)
\(84,6-2.x=15,402\)
\(2.x=84,6-15,402\)
\(2.x=69,198\)
\(x=69,198:2\)
\(x=34,599\)
_____
8. \(x\times5=120:6\)
\(x.5=20\)
\(x=20:5\)
\(x=4\)
_____
9. \(\left(15\times24-x\right):0,25=100:0,25\)
\(\left(15.24-x\right):0,25=400\)
\(15.24-x=400.0,25\)
\(15.24-x=100\)
\(360-x=100\)
\(x=360-100\)
\(x=260\)
1,x-8+32=68
=>x-8=68-32=36
=>x=36+8=42
2,x+8+32=68
=>x+8=68-32=36
=>x=36-8=28
3,98-x+34=43
=>98-x=43-34=9
=>x=98-9=89
4,98+x-34=43
=>98+x=43+34=77
=>x=77-98=-21
5,x:5:4=800
=>x:20=800
=>x=800x20=16000
6,18+x=384:8=48
=>x=48-18=30
7,(84,6-2x):3,02=5,1
=>84,6-2x=5,1x3,02=15,402
=>2x=84,6-15,402=69,198
=>x=69,198:2=34,599
8,5x=120:6=20
=>x=20:5=4
9,(15x24-x):0,25=100:0,25=400
=>360-x=400x0,25=100
=>x=360-100=260.
A = 1 - 3 + 32 - 33 + 34 - ... + 398 - 399 + 3100
3A = 3 - 32 + 33 - 34+ 35 - ... + 399 - 3100 + 3101
3A + A = 3 - 32+ 33-34+35 -...+399 - 3100 + 3101 + 1 - 3 +...-399+3100
4A = 3101 + 1
A = \(\dfrac{3^{101}+1}{4}\)
\(3^2+\left(3x-6\right):3=3^4\)
\(9+\left(3x-6\right):3=81\)
\(9+\left(3x-6\right)=81.3\)
\(9+\left(3x-6\right)=243\)
\(3x-6=243-9\)
\(3x-6=237\)
\(3x=237+6\)
\(3x=243\)
\(x=243:3\)
\(x=81\)
Vậy x = 81