1.Rozwiąz równanie : [latex]3x^{3} [/latex]+[latex] x^{2} [/latex]-6x-2=0 2.Rozwiaż równanie:[latex] x^{4} [/latex]+[latex]5x^{3} [/latex]-[latex] x^{2} [/latex]-5x=0

[latex]1)\\3x^{3} + x^{2} -6x-2=0\\x^{2}(3x +1 ) -2(3x+1)=0\\(3x +1 )(x^2-2)=0\\(3x +1 )(x -sqrt{2})(x+sqrt{2})=0\\3x+1=0 vee x-sqrt{2}=0 vee x+sqrt{2}=0\\3x=-1 vee x=sqrt{2} vee x=-sqrt{2}\\ x=-frac{1}{3} vee x=sqrt{2} vee x=-sqrt{2}[/latex] [latex]2)\\ x^{4} +5x^{3} - x^{2} -5x=0\\x( x^{3} +5x^{2} - x -5 )=0\\ x[x^2( x +5 ) - (x +5 )]=0\\ x(x+5)(x^2-1)=0\\x(x+5)(x -1)(x+1)=0\\x=0 vee x+5=0 vee x -1=0 vee x+1 =0\\x=0 vee x=-5 vee x=1 vee x=-1[/latex]