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1. PT
$\Leftrightarrow 2^{2x}+(x-1).2^x-2^{x+2}-4x+4=0$
$\Leftrightarrow 2^{2x}-2^{x+2}+(x-1).2^x-4(x-1)=0$
$\Leftrightarrow 2^x(2^x-4)+(x-1)(2^x-4)=0$
$\Leftrightarrow(2^x+x-1)(2^x-4)=0$
$\Leftrightarrow \left[ {\begin{matrix} 2^x=1-x\\ x=2 \end{matrix}} \right.$
Mặt khác $2^x \nearrow, 1-x \swarrow$ nên PT $2^x=1-x$ có nghiệm duy nhất $x=0.$
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