Równania kwadratowe : a) y² +0,75y=0,25y b) 34y² +9= y2 +(y-3)² c) 43y² =34y+14y²

a) [latex] y^{2} +0,75y=0,15y[/latex] [latex] y^{2} +0,75y-0,25y=0[/latex] [latex] y^{2} +0,5y=0[/latex] [latex]y(y+0,5)=0[/latex] [latex]y=0[/latex]  lub  [latex]y=-0,5[/latex] b) [latex] frac{3}{4} y^{2} +9= frac{y}{2} + (y-3)^{2} [/latex] [latex]0,75 y^{2} +9=0,5y+ y^{2} -6y+9[/latex] [latex]0,5y+ y^{2} -6y-0,75 y^{2} =0[/latex] [latex]0,25 y^{2} -5,5y=0[/latex] [latex]y(y-22)=0[/latex] [latex]y=0[/latex]  lub  [latex]y=22[/latex] c) [latex] frac{4}{3} y^{2} = frac{3}{4} y+ frac{1}{4} y^{2} [/latex]    / *12 [latex]16 y^{2} =9y+3 y^{2} [/latex] [latex]13 y^{2} -9y=0[/latex] [latex]y(13y-9)=0[/latex] [latex]y=0[/latex]  lub  [latex]13y=9[/latex] [latex]y=0[/latex]  lub  [latex]y= frac{9}{13} [/latex]