)podaj pierwiastki trójmianu kwadratowego  a) y=3/4(x- [latex] pi [/latex])(x-3,14) b)y=-2(x+1)(x+1-[latex] sqrt{2} [/latex]) c)y=(x+2- [latex] sqrt{3} [/latex] )(x-3+[latex] sqrt{2} [/latex]) prosze o pełne obliczenia

[] - pierwiastek 3/4(x-pi)(x-3,14)=0 x=pi ; x=3,14 -2(x+1)(x+1-[2])=0 x=-1 ; x=-1+[2] (x+2-[3])(x-3+[2])=0 x=-2+[3] ; x=3-[2]

Postać iloczynowa: y=a(x-x₁)(x-x₂), gdzie x₁,x₂ - miejsca zerowe (pierwiastki) ============================================================ a) y=3/4(x-[latex]pi[/latex])(x-3,14) 3/4(x-[latex]pi[/latex])(x-3,14)=0 x-[latex]pi[/latex]=0 lub x-3,14=0   x=[latex]pi[/latex]           x=3,14 b)y=-2(x+1)(x+1-[latex]sqrt{2}[/latex]) -2(x+1)(x+1-[latex]sqrt{2}[/latex])=0 x+1=0 lub x+1-[latex]sqrt{2}[/latex]=0   x=-1         x=-1+[latex]sqrt{2}[/latex] c)y=(x+2-[latex]sqrt{3}[/latex])(x-3+[latex]sqrt{2}[/latex]) (x+2-[latex]sqrt{3}[/latex])(x-3+[latex]sqrt{2}[/latex])=0 x+2-[latex]sqrt{3}[/latex]=0 lub x-3+[latex]sqrt{2}[/latex]=0 x=-2+[latex]sqrt{3}[/latex]          x=3-[latex]sqrt{2}[/latex]