Pomoze ktos bardzo prosze zad Rozwiaz rownania i nierownosci

[latex]a)\ 4x^2=12x-9\ 4x^2-12x+9=0\ Delta=b^2-4ac=(-12)^2-4cdot 4cdot 9=144-144=0\ x_{0}=frac{-b}{2a}=frac{12}{8}=frac{3}{2}\ x={frac{3}{2}}[/latex] [latex]b)\ -4x^2+1=0\ 1-4x^2=0\ (1+2x)(1-2x)=0\ 1+2x=0 vee 1-2x=0\ x=-frac{1}{2} vee x=frac{1}{2}\ \x={-frac{1}{2}, frac{1}{2}}[/latex] [latex]c)\ x^2 extless 2-x\ x^2+x-2 extless 0\ Delta=1^2-4cdot (-2)=1+8=9\ x_{1}=frac{-1-3}{2}=frac{-4}{2}=-2\ x_{2}=frac{-1+3}{2}=1\ \ xin ( -2,2)[/latex] [latex]d)\ x^3+3x^2-4x-12=0\ x^2(x+3)-4(x+3)=0\ (x+3)(x^2-4)=0\ (x+3)(x+2)(x-2)=0\ x+3=0 vee x+2=0 vee x-2=0\ x=-3 vee x=-2 vee x=2\ \ x={-3,-2,2}[/latex]