( 7x - 11 )3 = 25 . 52 + 200
\(\Rightarrow\)( 7x - 11 )3 = 32 . 25 + 200
\(\Rightarrow\)( 7x - 11 )3 = 800 + 200
\(\Rightarrow\)( 7x - 11 )3 = 1000
\(\Rightarrow\)( 7x - 11 )3 = 103
\(\Rightarrow\)7x - 11 = 10
\(\Rightarrow\)7x = 10 + 11 = 21
\(\Rightarrow\)x = 21 : 7
\(\Rightarrow\)x = 3
( 7x - 11 )3 = 25 . 52 + 200
( 7x - 11 )3 = 32 . 25 + 200
( 7x - 11 )3 = 800 + 200
( 7x - 11 )3 = 1000
( 7x - 11 )3 = 103
7x - 11 = 10
7x = 10 + 11
7x = 21
x = 21 : 7
x = 3
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=32.25+200\)
\(\left(7x-11\right)^3=800+200\)
\(\left(7x-11\right)^3=1000\)
\(\left(7x-11\right)^3=10^3\)
\(7x-11=10\)
\(7x=11+10\)
\(7x=21\)
\(x=21:3\)
\(x=7\)