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12x - 33 = 3².3³
12x - 33 = 9.27
12x - 33 = 243
12x = 243 + 33
12x = 276
x = 276 : 12
x = 23
\(12x-33=3^2\cdot3^3\)
\(12x-33=3^{2+3}\)
\(12x-33=3^5\)
\(12x-33=243\)
\(12x=243+33\)
\(12x=276\)
\(x=\dfrac{276}{12}\)
\(x=23\)
a: \(3^2+10:2=9+5=14\)
b: \(13\cdot\left(23+17\right)-17\cdot\left(23+13\right)\)
\(=13\cdot23+13\cdot17-17\cdot23-17\cdot13\)
\(=13\cdot23-17\cdot23\)
\(=-4\cdot23=-92\)
c: \(-8+2\left(x-4\right)=2^3\cdot3^2\)
=>\(2\left(x-4\right)-8=8\cdot9=72\)
=>2(x-4)=72+8=80
=>x-4=40
=>x=44
d)12.x - 33= 3 2 . 3 3
12.x - 33 = 9.27
12.x - 33 = 243
12.x = 243 + 33
12.x = 276
x = 276:12
x = 23
12x – 33 = 32.33
12x - 33 = 9.27
12x - 33 = 243
12x = 243 + 33
12x = 276
x = 276:12
x = 23
Vậy x = 23
\(B=1\cdot2+2\cdot3+3\cdot4+\dots+31\cdot32+32\cdot33\\3B=1\cdot2\cdot3+2\cdot3\cdot3+3\cdot4\cdot3+\dots+31\cdot32\cdot3+32\cdot33\cdot3\\=1\cdot2\cdot3+2\cdot3\cdot(4-1)+3\cdot4\cdot(5-2)+\dots+31\cdot32\cdot(33-30)+32\cdot33\cdot(34-31)\\=1\cdot2\cdot3+2\cdot3\cdot4-1\cdot2\cdot3+3\cdot4\cdot5-2\cdot3\cdot4+\dots+31\cdot32\cdot33-30\cdot31\cdot32+32\cdot33\cdot34-31\cdot32\cdot33\\=32\cdot33\cdot34\\\Rightarrow B=\dfrac{32\cdot33\cdot34}{3}=32\cdot11\cdot34\)
Vì \(32\cdot11\cdot34⋮34\)
nên \(B\vdots34\).
Ta có : B = 1.2 +2.3 +...+31.32 + 32.33
3B = 1.2.3 + 2.3.3+...+ 31.32.3 + 32.33.3
3B = 1.2.3 + 2.3.(4-1) +...+ 31.32.(33-30)+32.33.(34-31)
3B = 1.2.3 + 2.3.4 - 2.3.1 +...+ 31.32.33-30.31.32 + 32.33.34- 31.32.33
3B = 32.33.34 B = 32.33.34 / 3 = 32.11.34 chia hết cho 34
Vậy B chia hết cho 34
2.x – 138 = 23.32
2x – 138 = 8.9
2x – 138 = 72
2x = 72 + 138
2x = 210
x = 210 : 2
x = 105
Vậy x = 105
\(=72-3^3=45\)
=8.9-(1+8):9.27
=72-27
=50