Respuesta :

gmany

Answer:

[tex]\large\boxed{x=-\sqrt2,\ x=0,\ x=\sqrt2}[/tex]

Step-by-step explanation:

[tex]x^3-2x=0\qquad\text{distributive}\\\\x(x^2-2)=0\iff x=0\ \vee\ x^2-2=0\\\\x^2-2=0\qquad\text{add 2 to both sides}\\\\x^2=2\to x=\pm\sqrt2[/tex]

PoeticAesthetics

You can factor out an x:

x ( [tex]x^{2}[/tex] - 2)

Now set x equal to zero and the expression in the parentheses equal to zero

x = 0

[tex]x^{2}  - 2 = 0[/tex]

We don't need to do anything to x = 0 because x is already isolated, but you can further isolate x in the equation:

x^2 - 2 = 0

To do this add 2 to both sides

x^2 = 2

Take the square root of both sides to completely isolate x

x = ± √2

The zeros are:

0 and ±√2

Hope this helped!

~Just a girl in love with Shawn Mendes

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