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\(14\cdot7^{2021}=35\cdot7^{2021}-3\cdot49^x\)
\(\Rightarrow35\cdot7^{2021}-3\cdot49^x=14\cdot7^{2021}\)
\(\Rightarrow5\cdot7\cdot7^{2021}-3\cdot\left(7^2\right)^x=2\cdot7\cdot7^{2021}\)
\(\Rightarrow5\cdot7^{2022}-3\cdot7^{2x}=2\cdot7^{2022}\)
\(\Rightarrow3\cdot7^{2x}=5\cdot7^{2022}-2\cdot7^{2022}\)
\(\Rightarrow3\cdot7^{2x}=\left(5-2\right)\cdot7^{2022}\)
\(\Rightarrow3\cdot7^{2x}=3\cdot7^{2022}\)
\(\Rightarrow7^{2x}=7^{2022}\)
\(\Rightarrow2x=2022\)
\(\Rightarrow x=2022:2\)
\(\Rightarrow x=1011\)
Vậy \(x=1011\).
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\(6\cdot x+9=15\)
\(\Rightarrow6\cdot x=15-9\)
\(\Rightarrow6\cdot x=6\)
\(\Rightarrow x=\dfrac{6}{6}=1\)
_______________
\(43+2x=49\)
\(\Rightarrow2x=49-43\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=\dfrac{6}{2}=3\)
____________
\(x:2+5=11\)
\(\Rightarrow x:2=11-5\)
\(\Rightarrow x:2=6\)
\(\Rightarrow x=6\cdot2=12\)
______________
\(77-11x=0\)
\(\Rightarrow11x=77\)
\(\Rightarrow x=\dfrac{77}{11}\)
\(\Rightarrow x=7\)
_______________
\(12-4:x=8\)
\(\Rightarrow4:x=12-8\)
\(\Rightarrow4:x=4\)
\(\Rightarrow x=\dfrac{4}{4}=1\)
_____________
\(x:3+8=11\)
\(\Rightarrow x:3=11-8\)
\(\Rightarrow x:3=3\)
\(\Rightarrow x=3\cdot3=9\)
a: 6x+9=15
=>6x=6
=>x=1
b: 2x+43=49
=>2x=6
=>x=3
c: x:2+5=11
=>x:2=6
=>x=12
d: 77-11x=0
=>7-x=0
=>x=7
e: 12-4:x=8
=>4:x=4
=>x=1
f: x:3+8=11
=>x:3=3
=>x=9
![](https://rs.olm.vn/images/avt/0.png?1311)
a/ 2x(x-5)-x(3+2x)=26
=>2x2-10x-2x2-3x=26
=>-13x=26
=>x=-2
b/ 49x2-81=0
=>49x2=81
=>x2=\(\frac{49}{81}\)
\(\Rightarrow x^2=\left(-\frac{9}{7}\right)^2\)hoặc \(\left(\frac{9}{7}\right)^2\)
\(\Rightarrow x=\pm\frac{9}{7}\)
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\(A=\left(1+7\right)+...+7^{2020}\left(1+7\right)=8\left(1+...+7^{2020}\right)⋮8\)
\(A = (1 + 7) +...+7^2\)\(^0\)\(^2\)\(^0\) \((1 + 7) = 8 (1+...+7^2\)\(^0\)\(^2\)\(^0\)\() \) ⋮\(8\)
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a) 25.6 + 5.5.29 - 45.5 =25.6 - 25.29 + 9.5.5 25.6 - 25.29 +9.(5.5) [có chung 25 nên sẽ đặt 25 ra ngoài rồi trừ cộng trong ngoặc] b) 30.75 + 25.30 - 150 =30.75 + 25.30 - 30.5 [tương tự như trên]
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60x + 11 = 49x - 11
60x - 49x = -11 - 11
11x = -22
x = -22 : 11 = -2
Dễ thế mà ko làm đc