Question

qual é o produto das soluções reais da equação..olhar a foto.​

Answer 1

$x^2-\dfrac{12}{x^2}=1\\\\\\x^4-12=x^2\\\\x^4-x^2-12=0\\\\y=x^2\\\\y^2-y-12=0\\\\y=\dfrac{-1\pm\sqrt{49}}{2}\\\\y_1=3\\\\y_2=-4\\\\x^2=3\\\\x=\pm\sqrt3\\\\x^2=-4\\\\x=\pm2i\\\\\boxed{S:\{\pm\sqrt3,\pm2i\}}$

Resposta:

$-\sqrt3\times\sqrt3=-3$