[tex]a)^{238}_{92}U=^{206}_{82}Pb+x* \alpha +y* \beta \\
^{238}_{92}U= ^{206}_{82}Pb+x*^{4}_{2} \alpha +y* _{-1}\beta \\
Sus:\\
238=206+4*x\\
32=4*x\\
x=8\\
Jos:\\
92=82+8*2-y\\
10=16-y\\
y=6\\
Raspuns: \alpha -8; \beta -6.\\
[/tex]
[tex]b)^{232}_{90}Th=^{208}_{82}Pb+x*^{4}_{2} \alpha +y*_{-1} \beta \\
Sus:\\
232=208+4*x\\
24=4*x\\
x=6\\
Jos:\\
90=82+6*2-y\\
8=12-y\\
y=4\\
Raspuns: \alpha -6; \beta -4.\\[/tex]
[tex]c)^{235}_{89}Ac=^{207}_{82}Pb+x*^{4}_{2} \alpha +y*_{-1} \beta \\
Sus:\\
235=207+4*x\\
28=4*x\\
x=7\\
Jos:\\
89=82+7*2-y\\
7=14-y\\
y=7\\
Raspuns: \alpha -7; \beta -7.[/tex]
[tex]d)^{237}_{93}Np=^{209}_{83}Bi+x*^{4}_{2} \alpha +y_{-1} \beta \\
Sus:\\
237=209+4*x\\
28=4*x\\
x=7\\
Jos:\\
93=83+7*2-y\\
10=14-y\\
y=4\\
Raspuns: \alpha -7; \beta -4.
[/tex]