Question

me ajudem nessa questao Unesp - O sistema a seguir..

Answer 1

$\left \{ {{ \frac{2^x^+^ \beta^y}{2^ \alpha ^x}= 32 } \atop { \frac{3^ \beta ^-^y}{3^ \alpha ^y} = 81}} \right. \\ \\ \left \{ {{2^x^+^ \beta ^x }=2^5 \atop {3^ \beta ^x^- ^y}= 3^4} \right.$

$\left \{ {{(1- \alpha)*x + \beta y = 5} \atop { \beta *x - (1 + \alpha )=4}} \right.$

$\left[\begin{array}{cc}1 - \alpha & \beta &\\ \beta &-(1+ \alpha )\end{array}\right] \neq 0$
Então temos que: se e somente se 

$-(1 + \alpha ) *(1 + \alpha - \beta^2 \neq 0 <=> \alpha ^2 - \beta ^2 \neq 1$


Resposta Letra C = $\alpha ^2 - \beta ^2 \neq 1$