1)
$2÷x=x÷\frac{8}{49}$
$⇒2×\frac{8}{49}=x×x$
$⇒\frac{16}{49}=x^2$
$⇒x=\left[ \begin{array}{l}x=\frac{4}{7}\\x=-\frac{4}{7}\end{array} \right. $
2)
$|x|+2^2=3^2+(\frac{1}{2})^3$
$⇒|x|+4=9+\frac{1}{8}$
$⇒|x|=5+\frac{1}{8}$
$⇒|x|=\frac{41}{8}$
$⇒x=\left[ \begin{array}{l}x=\frac{41}{8}\\x=-\frac{41}{8}\end{array} \right. $
3)
$5-(x+\frac{1}{2})^2=5^0$
$⇒5-(x+\frac{1}{2})^2=1$
$⇒(x+\frac{1}{2})^2=5-1$
$⇒(x+\frac{1}{2})^2=4$
$⇒\left[ \begin{array}{l}x+\frac{1}{2}=2\\x+\frac{1}{2}=-2\end{array} \right.$
$⇒\left[ \begin{array}{l}x=2-\frac{1}{2}\\x=-2-\frac{1}{2}\end{array} \right.$
$⇒\left[ \begin{array}{l}x=\frac{3}{2}\\x=-\frac{5}{2}\end{array} \right.$
4)
$(x+0,1)^3+8=0$
$⇒(x+0,1)^3=-8$
$⇒x+0,1=-2$
$⇒x=-2-0,1$
$⇒x=-2,1$
