Câu 1: Tìm xϵn, biết:
32 . x + 22 . x = 26 . 22 - 13
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a) \(x+5=20-\left(12-7\right)\)
\(\Rightarrow x+5=20-5\)
\(\Rightarrow x+5=15\)
\(\Rightarrow x=15-5\)
\(\Rightarrow x=10\)
b) \(15-\left(3+2x\right)=2^2\)
\(\Rightarrow3+2x=15-4\)
\(\Rightarrow3+2x=11\)
\(\Rightarrow2x=11-3\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=\dfrac{8}{2}\)
\(\Rightarrow x=4\)
c) \(-11-\left(19-x\right)=50\)
\(\Rightarrow19-x=-11-50\)
\(\Rightarrow19-x=-61\)
\(\Rightarrow x=61+19\)
\(\Rightarrow x=80\)
d) \(159-\left(25-x\right)=43\)
\(\Rightarrow25-x=159-43\)
\(\Rightarrow25-x=116\)
\(\Rightarrow x=25-116\)
\(\Rightarrow x=-91\)
e) \(\left(79-x\right)-43=-\left(17-52\right)\)
\(\Rightarrow\left(79-x\right)-43=52-17\)
\(\Rightarrow79-x-43=35\)
\(\Rightarrow36-x=35\)
\(\Rightarrow x=1\)
f) \(\left(7+x\right)-\left(21-13\right)=32\)
\(\Rightarrow7+x-8=32\)
\(\Rightarrow x-1=32\)
\(\Rightarrow x=32+1\)
\(\Rightarrow x=33\)
g) \(-x+20=-15+8+13\)
\(\Rightarrow-x+20=6\)
\(\Rightarrow x=20-6\)
\(\Rightarrow x=14\)
h) \(-\left(-x+13-142\right)+18=55\)
\(\Rightarrow x-13+142+18=55\)
\(\Rightarrow x+147=55\)
\(\Rightarrow x=55-147\)
\(\Rightarrow x=-92\)
\(\frac{22\cdot13\cdot17}{55\cdot26\cdot51}\)
\(=\frac{22\cdot13\cdot17}{55\cdot13\cdot2\cdot3\cdot17}\)
\(=\frac{11\cdot2}{55\cdot2\cdot3}\)
\(=\frac{11}{55\cdot3}=\frac{11}{165}\)
\(\frac{22.13.17}{55.26.51}\) = \(\frac{2.11.13.17}{11.5.13.2.17.3}\) = \(\frac{1}{15}\)
. là dấu nhân nhé
2.
a, x-13=-46
=>x=(-46)+13
=>x=33
b, 4x-6=22
=>4x=22+6
=>4x=28
=>x=28:4
=>x=7
3.
a, 32=25
48=24.3
=>ƯCLN(32,48)=24=16
16=24
72=23.32
=>ƯCLN(16,72)=23=8
b,
24=23.3
60=22.3.5
=>BCNN(24,60)=23.3.5=120
72=23.32
180=22.32.5
=>BCNN(72,180)=23.32.5=360
Câu 1:
a. $=-(35+65)+(22+88)=-100+110=110-100=10$
c. $=58(26+74)=58.100=5800$
b. $=29(38+63-1)=29.100=2900$
\(3^2.x+2^2.x=26.2^2-13\\ =>x\left(3^2+2^2\right)=26.4-13\\ =>13x=104-13\\ =>13x=91\\ =>x=91:13\\ =>x=7\)