Question

Cum se rezolva ecuatiile cu doua numere la patrat?

Answer 1

$\alpha a^{2f(x)}+\beta a^{f(x)}b^{f(x)}+\delta b^{2f(x)}=0;\ \ a,b\ \textgreater \ 0;a,b \neq 1 \\ Impartim\ prin\ b^{2f(x)} \\ \alpha( \frac{a}{b})^{2f(x)}+\beta( \frac{a}{b})^{f(x)}+\delta=0 \\ Notam\ (\frac{a}{b})^{f(x)}=t \\ \alpha t^2+\beta t+\delta=0 \\ Ecuatie\ de\ gradul\ 2 \\ \Delta=............ \\ t_{1,2}=...........$