Rozwiąż równania a) 4x^4-12x²=0 b)(3i1/2-x)(3x+1/2)(4x+3)=0 c)4x³-6x²+7x=0

[latex]a)\\ 4x^4-12x^2=0\\ x^2 (4 x^2-12)=0\ \x^2=0 vee 4 x^2-12=0 / :4\ \x =0 vee x^2-3=0 \ \x =0 vee ( x -sqrt{3})( x +sqrt{3})=0\\x =0 vee x -sqrt{3}=0 vee x +sqrt{3} =0 \\x =0 vee x=sqrt{3} vee x =-sqrt{3} [/latex] [latex]b)\\(3 frac{1}{2}-x)(3x+ frac{1}{2})(4x+3)=0\\3 frac{1}{2}-x=0 vee 3x+ frac{1}{2}=0 vee 4x+3 =0\\x=3 frac{1}{2} vee 3x= frac{1}{2} vee 4x =-3\\x=3 frac{1}{2} vee x= frac{1}{6} vee x =-frac{3 }{4}[/latex] [latex]c)\\4x^3-6x^2+7x=0\\x(4x^2-6x +7 )=0 \\4x^2-6x +7=0 vee x=0\\ Delta =b^2-4ac = (-6)^2 -4*4* 7= 36-112 = -76 \\Delta < 0 brak pierwiastkow \ \ rozwiazanie : x=0[/latex]