Giải:
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=32.25+200\)
\(\left(7x-11\right)^3=800+200\)
\(\left(7x-11\right)^3=1000\)
\(\Rightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(7x=10+11\)
\(7x=21\)
\(x=21:7\)
\(x=3\)
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a) \(\left(7x-11\right)^3=2^5.5^2+200.\\ \left(7x-11\right)^3=32.25+200.\\ \left(7x-11\right)^3=800+200.\\ \left(7x-11\right)^3=1000.\\ =>\left(7x-11\right)^3=10^3.\\ =>7x-11=10.\\ 7x=10+11.\\ 7x=21.\\ x=21:7.\\ x=3.\)
Vậy \(x=3\)
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