Question

Rezolvati ecuatia (x^2-4)(8-x^2)=0, unde x apartine Z

Answer 1

Se ia fiecare dintre termeni si se egaleaza pe rand cu 0.

x^2-4= 0
x^2 = 4, deci x = +2 si -2

8-x^2 = 0
x^2 = 8, deci x = + 2√2 si - 2√2

Answer 2

$(x^{2}-4)(8-x^{2})=0$
$~ \ ~$
$x^{2}-4=0$
$8-x^{2}=0$
$~ \\ ~$
$x=2$
$x=-2$
$x=2\sqrt{2}$
$x=-2\sqrt{2}$
$~ \\ ~$
$x_{1}=-2\sqrt{2}$
$x_{2}=-2$
$x_{3}=2$
$x_{4}=2\sqrt{2}$