a) \(\left(2x-1\right)^2-2x+1=0\)
\(\Leftrightarrow4x^2-4x+1-2x+1=0\)
\(\Leftrightarrow4x^2-6x+2=0\)
\(\Delta=\left(-6\right)^2-4.4.2=4\)
\(x_1=\dfrac{1}{2};x_2=1\)
b) \(\left(4x-3\right)^2-12x+9=0\)
\(\Leftrightarrow16x^2-24x+9-12x+9=0\)
\(\Leftrightarrow16x^2-36x+18=0\)
\(\Delta=\left(-36\right)^2-4.16.18=144\)
\(x_1=\dfrac{3}{4};x_2=\dfrac{3}{2}\)
c) \(3x^2-48=0\)
\(\Leftrightarrow3x^2=48\)
\(\Leftrightarrow x^2=16\)
\(x_1=4;x_2=-4\)
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