a) \(x^2-2=\frac{1}{4}\)
\(\Rightarrow x^2=\frac{1}{4}+2\)
\(\Rightarrow x^2=\frac{9}{4}=2,25=1,5^2\)
\(\Rightarrow x=1,5\)
b) \(-\frac{3}{2}.\left(\frac{4}{5}+x\right)=1\frac{3}{2}\)
\(\Rightarrow-\frac{3}{2}.\left(\frac{4}{5}+x\right)=\frac{5}{2}\)
\(\Rightarrow\frac{4}{5}+x=\frac{5}{2}:-\frac{3}{2}\)
\(\Rightarrow\frac{4}{5}+x=-\frac{5}{3}\)
\(\Rightarrow x=-\frac{5}{3}-\frac{4}{5}\)
\(\Rightarrow x=-\frac{37}{15}\)