Tìm x , biết: g) 4 ( x − 2 )^ 2 = 25 ( 1 − 3 x )^ 2 .

g) \[4{\left( {x - 2} \right)^2} = 25{\left( {1 - 3x} \right)^2}\]

\[{\left[ {2\left( {x - 2} \right)} \right]^2} = {\left[ {5\left( {1 - 3x} \right)} \right]^2}\]

\[{\left( {2x - 4} \right)^2} - {\left( {5 - 15x} \right)^2} = 0\]

\[\left( {2x - 4 + 5 - 15x} \right)\left( {2x - 4 - 5 + 15x} \right) = 0\]

\[\left( { - 13x + 1} \right)\left( {17x - 9} \right) = 0\]

\[ - 13x + 1 = 0\] hoặc \[17x - 9 = 0\]

\( - 13x = - 1\) hoặc \(17x = 9\)

\(x = \frac{1}{{13}}\) hoặc \(x = \frac{9}{{17}}\).

Vậy \(x = \frac{1}{{13}}\); \(x = \frac{9}{{17}}\).