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\(\left(3x-1\right)^3=25\left(3x-1\right)\\ \Leftrightarrow\left(3x-1\right)^2=25\\ \Leftrightarrow\left[{}\begin{matrix}3x-1=5\\3x-1=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\\ \left(3x-14\right)^3=2^5\cdot5^2+200\\ \Leftrightarrow\left(3x-14\right)^3=1000=10^3\\ \Leftrightarrow3x-14=10\Leftrightarrow x=8\)
\(\left(3x-1\right)^3=25\left(3x-1\right)\)
\(\Rightarrow\left(3x-1\right)\left(9x^2-6x+1-25\right)=0\)
\(\Rightarrow\left(3x-1\right)\left(9x^2-6x-24\right)=0\)
\(\Rightarrow3\left(3x-1\right)\left(x-2\right)\left(3x+4\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\)
\(\left(3x-14\right)^3=2^5.5^2+200\)
\(\Rightarrow\left(3x-14\right)^3=1000\)
\(\Rightarrow3x-14=10\Rightarrow3x=24\Rightarrow x=8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Thế này mới đúng
\(\left(7x-11\right)^3=2^5.5^26+200\)
= \(\left(7x-11\right)^3=1000\)
= \(\left(7x-11\right)^3=10^3\)
= \(\left(7x-11\right)=10\)
= \(7x=10+11\)
= \(7x=21\)
=> \(x=21:7\)
=> x = 3
Bạn thử vào x chắc chắn đúng 99,9%
= \(\left(7.x-11\right)^3=1000\)
= \(\left(7.x\right)^3=1000+11=1011\)
= \(\left(7.x\right)^3=1011\)
= \(1011:7=\frac{1011}{7}\)
= \(x^3=\frac{1011}{7}=1,433790434\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=1000\)
\(\Leftrightarrow7x-11=10\)
\(\Leftrightarrow7x=21\)
\(\Leftrightarrow x=3\)
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Rightarrow\left(7x-11\right)^3=32.25+200\)
\(\Rightarrow\left(7x-11\right)^3=800+200\)
\(\Rightarrow\left(7x-11\right)^3=1000=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\left(7x-11\right)^3=2^5+5^2+200=1000\)
\(\Rightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=3\)
Trả lời:
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=32.25+200\)
\(\Leftrightarrow\left(7x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7x-11\right)^3=1000\)
\(\Leftrightarrow7x-11=10\)
\(\Leftrightarrow7x=21\)
\(\Leftrightarrow x=3\)
Vậy\(x=3\)
Hok tốt!
Good girl
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Leftrightarrow\left(7x-11\right)^3=32\cdot25+200=1000\)
=>7x-11=10
=>x=3
![](https://rs.olm.vn/images/avt/0.png?1311)
I do not know
( 3 * x - 14 ) ^ 3 = 2 ^ 5 . 5 ^ 2 + 200
( 3 * x - 14 ) ^ 3 = 1000
( 3 * x - 14 ) ^ 3 = 10 ^ 3
=> 3 * x - 14 = 10
3 * x = 24
x = 8