rozwiąż równania : g) 5x^3-30x=4x^2-24 d) x^4+2x^2=3x^3 b) (x^2+x+6)(x^2+2)(x^3+1)=0

[latex]g)quad 5x^3-30x=4x^2-24\ 5x(x^2-6)-4(x^2-6)=0\ (5x-4)(x^2-6)=0\ (5x-4)(x-sqrt{6})(x+sqrt{6})=0\ x=-frac{4}{5}vee x=sqrt{6}vee x=-sqrt{6}\\ d)quad x^4+2x^2=3x^3\ x^4-3x^3+2x^2=0\ x^2(x^2-3x+2)=0\ x^2(x-2)(x-1)=0\ x=0vee x=2vee x=1\\ b)quad (x^2+x+6)(x^2+2)(x^3+1)=0 \\ x^2+x+6=0vee x^2+2=0vee x^3+1=0 \\ |quad x^2+x+6=0\ |quad Delta=-23 extless 0\\ |quad x^2+2=0\ |quad sprzeczne\\ x^3+1=0\ x=1[/latex]