Witaj :)
Podpunkt a
[tex]4x^4-x^2=0\\x^2(4x^2-1)=0\\x^2(2x-1)(2x+1)=0\iff x^2=0\ \vee \ 2x-1=0\ \vee \ 2x+1=0\\\\x^2=0\implies x=0\ \vee \ 2x-1=0\implies x=\frac{1}{2}\ \vee \ 2x+1=0\implies x=-\frac{1}{2}[/tex]
ODP.: [tex]x\in \{-\frac{1}{2};0;\frac{1}{2}\}[/tex]
Podpunkt b
[tex]3x^4+5x^3-3x^2-5x=0\\x(3x^3+5x^2-3x-5)=0\\x[x^2(3x+5)-(3x+5)]=0\\x(3x+5)(x^2-1)=0\\x(3x+5)(x-1)(x+1)=0\iff x=0\ \vee \ 3x+5=0\ \vee\ x-1=0\ \vee \ x+1=0\\\\x=0\ \vee \ 3x+5=0\implies x=-\frac{5}{3}\ \vee \ x-1=0\implies x=1\ \vee \ x+1=0\implies x=-1[/tex]
ODP.: [tex]x\in \{-\frac{5}{3};-1;0;1\}[/tex]
