${a) 0,5x.(0,1-x)=0}$
⇒\(\left[ \begin{array}{l}0,5.x=0\\0,1-x=0\end{array} \right.\)
⇒\(\left[ \begin{array}{l}x=0\\x=0,1\end{array} \right.\)
$\text{Vậy \(\left[ \begin{array}{l}x=0\\x=0,1\end{array} \right.\)}$
b) $(x+\frac{1}{2} )^{2}$ - $\frac{1}{16}$ = ${0}$
⇒ $(x+\frac{1}{2} )^{2}$ = ${0}$ + $\frac{1}{16}$
⇒ $(x+\frac{1}{2} )^{2}$ = $\frac{1}{16}$
⇒ $(x+\frac{1}{2} )^{2}$ = ($\frac{1}{4}) ^{2}$
⇒ ${x}$ + $\frac{1}{2}$ = $\frac{1}{4}$
⇒ ${x}$ = $\frac{1}{4}$ - $\frac{1}{2}$
⇒ ${x}$ = $\frac{-1}{4}$
$\text{Vậy ${x}$ = $\frac{-1}{4}$ }$