Cześć!
a)
[tex]x^5=8x^2\\\\x^5-8x^2=0\\\\x^2(x^3-8)=0\\\\x^2=0 \ \ \ \vee \ \ \ x^3-8=0\\\\x=0 \ \ \ \vee \ \ x^3=8\\\\\boxed{x=0} \ \ \ \vee \ \ \ \boxed{x=2}[/tex]
b)
[tex]x^5-16x=0\\\\x(x^4-16)=0\\\\x(x^2+4)(x^2-4)=0\\\\x=0 \ \ \ \vee \ \ \ x^2+4=0 \ \ \ \vee \ \ \ x^2-4=0\\\\x=0 \ \ \ \vee \ \ \ x^2=-4\notin\text{R} \ \ \ \vee \ \ \ (x+2)(x-2)=0\\\\\boxed{x=0} \ \ \ \vee \ \ \ \boxed{x=-2} \ \ \ \vee \ \ \ \boxed{x=2}[/tex]
c)
[tex]x^6-25x^2=0\\\\x^2(x^4-25)=0\\\\x^2(x^2-5)(x^2+5)=0\\\\x^2=0 \ \ \ \vee \ \ \ x^2-5=0 \ \ \ \vee \ \ \ x^2+5=0\\\\x=0 \ \ \ \vee \ \ \ (x+\sqrt5)(x-\sqrt5) \ \ \ \vee \ \ \ x^2=-5\notin\text{R}\\\\\boxed{x=0} \ \ \ \vee \ \ \ \boxed{x=-\sqrt5} \ \ \ \vee \ \ \ \boxed{x=\sqrt5}[/tex]
