Question

Considera raportul [tex]F(x)= \frac{ x^{2} -2x-3}{ x^{2} -3}
[/tex] , pentru orice numar rational x .

a) Calculati F(3)
b) Rezolvati in multimea numerelor rationale ecuatia F(x)=1

Answer 1

$F(3)= \frac{3^2-2*3-3}{3^2-3}= \frac{9-6-3}{9-3}= \frac{0}{6}=0$

b)

$\frac{x^2-2x-3}{x^2-3}=1$

x²-2x-3=x²-3
x²-x²-2x-3+3=0
-2x=0
x=0