\(\left(3x-1\right)^3=25\left(3x-1\right)\\ \Leftrightarrow\left(3x-1\right)^2=25\\ \Leftrightarrow\left[{}\begin{matrix}3x-1=5\\3x-1=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\\ \left(3x-14\right)^3=2^5\cdot5^2+200\\ \Leftrightarrow\left(3x-14\right)^3=1000=10^3\\ \Leftrightarrow3x-14=10\Leftrightarrow x=8\)

\(\left(3x-1\right)^3=25\left(3x-1\right)\)

\(\Rightarrow\left(3x-1\right)\left(9x^2-6x+1-25\right)=0\)

\(\Rightarrow\left(3x-1\right)\left(9x^2-6x-24\right)=0\)

\(\Rightarrow3\left(3x-1\right)\left(x-2\right)\left(3x+4\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\)

\(\left(3x-14\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(3x-14\right)^3=1000\)

\(\Rightarrow3x-14=10\Rightarrow3x=24\Rightarrow x=8\)

a) 2

b) 8

giúp vs

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%

= \(\left(7.x-11\right)^3=1000\)

= \(\left(7.x\right)^3=1000+11=1011\)

= \(\left(7.x\right)^3=1011\)

= \(1011:7=\frac{1011}{7}\)

= \(x^3=\frac{1011}{7}=1,433790434\)

Lộn x = 3 

\(\Leftrightarrow7x-11=20\)

hay x=31/7

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Leftrightarrow\left(7x-11\right)^3=1000\)

\(\Leftrightarrow7x-11=10\)

\(\Leftrightarrow7x=21\)

\(\Leftrightarrow x=3\)

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(7x-11\right)^3=32.25+200\)

\(\Rightarrow\left(7x-11\right)^3=800+200\)

\(\Rightarrow\left(7x-11\right)^3=1000=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(7x-11\right)^3=32.25+200\)

\(\Rightarrow\left(7x-11\right)^3=800+200\)

\(\Rightarrow\left(7x-11\right)^3=1000=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

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

\(\left(7\text{x}-11\right)^3=2^5\text{ }.\text{ }5^2+200.\)

\(\left(7\text{x}-11\right)^3=32\text{ }.\text{ }25+200.\)

\(\left(7\text{x}-11\right)^3=800+200.\)

\(\left(7\text{x}-11\right)^3=1000.\)

\(\left(7\text{x}-11\right)^3=10^3.\)

\(\Rightarrow\text{ }\text{7x}-11=10.\)

\(\text{7x}=10+11\)

\(\text{7x}=21\)

\(x=21\div7\)

\(x=3\)

Vậy \(x=3\)

\(\Leftrightarrow\left(7x-11\right)^3=32\cdot25+200=1000\)

=>7x-11=10

=>x=3