Question

aratati ca daca a/b=13/12,arunci 4a+b/4a-3b reprezinta patratul unui numar natural.Va rog!Coroana + 8puncte.​

Answer 1

$\displaystyle\frac{a}{b} = \frac{13}{12}\Rightarrow 12a=13b\\\\\frac{4a+b}{4a-3b}\overset{\text{amplific cu 3}}{=}\frac{12a+3b}{12a-9b} = \frac{13b+3b}{13b-9b} = \frac{16b}{4b} = \frac{16}{4}=4=\text{p\u atrat perfect}$