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e) ( 4x - 10 )2 = 25
=> ( 4x - 10 )2 = 52 = ( -5 )2
\(\Rightarrow\orbr{\begin{cases}4x-10=5\\4x-10=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}4x=5+10=15\\4x=-5+10=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{15}{4}\\x=\frac{-5}{4}\end{cases}}\)
f) 4x3 + 15 = 47
=> 4x3 = 47 - 15 = 32
=> x3 = 32 : 4 = 8
=> x3 = 23
=> x = 2
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5x + 2 chia hết cho 9 - 2x
=> 2(5x + 2) = 10x + 4 chia hết cho 9 - 2x
=> 10x + 4 + 5(9 - 2x) = 10x + 4 + 45 - 10x = 49 chia hết cho 9 - 2x
=> 9 - 2x thuộc Ư(49) = {1, 7, 49}
=> 2x thuộc {8, 2, -40}
=> x thuộc {1, 4, -20}
Vậy x thuộc {1, 4, -20}
Học tốt nhé!
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TL:
\(2x^3+16=32\)
\(2x^3=32-16\)
\(2x^3=16\)
\(x^3=16:2\)
\(x^3=8\)
\(x^3=2^3\)
\(\Rightarrow x=2\)
HT!~!
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a: \(A=1+3+3^2+...+3^{11}\)
\(=\left(1+3\right)+\left(3^2+3^3\right)+...+\left(3^{10}+3^{11}\right)\)
\(=\left(1+3\right)+3^2\left(1+3\right)+...+3^{10}\left(1+3\right)\)
\(=4\left(1+3^2+...+3^{10}\right)⋮4\)
b: \(B=16^5+2^{15}\)
\(=\left(2^4\right)^5+2^{15}\)
\(=2^{20}+2^{15}=2^{15}\left(2^5+1\right)=2^{15}\cdot33⋮33\)
c: \(C=5+5^2+5^3+...+5^8\)
\(=\left(5+5^2\right)+\left(5^3+5^4\right)+...+\left(5^7+5^8\right)\)
\(=30+5^2\left(5+5^2\right)+...+5^6\left(5+5^2\right)\)
\(=30\left(1+5^2+...+5^6\right)⋮30\)
d: \(45⋮9;99⋮9;180⋮9\)
=>\(45+99+180⋮9\)
=>D chia hết cho 9
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\(\left|x\right|+\left|y\right|=1\)
\(\Rightarrow\orbr{\begin{cases}x=1\\y=0\end{cases}}\)
Hoặc :
\(\Rightarrow\orbr{\begin{cases}x=0\\y=1\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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