[latex]x ^2- 3 +4x = (x+2) ^2-1 [/latex] [latex]x ^2- 3 +4x = x^2+4x+4-1 [/latex] [latex]- 3 =4-1 [/latex] [latex]- 3 =3[/latex] [latex]- 3 eq 3[/latex] równanie sprzeczne [latex](x-3)(x+3) -(x+2) ^2 -5 =x +4[/latex] [latex]x^2-9 -(x^2+4x+4) ^2 -5 =x +4[/latex] [latex]x^2-9 -x^2-4x-4-5 =x +4[/latex] [latex]-4x-18 =x +4[/latex] [latex]-5x =22[/latex] [latex]x=-4,4[/latex] [latex](3+sqrt{6})(x-2sqrt{6})=12-sqrt{6}[/latex] [latex]3x-6sqrt{6}+sqrt{6}x-12=12-sqrt{6}[/latex] [latex]3x+sqrt{6}x=12-sqrt{6}+6sqrt{6}+12[/latex] [latex]3x+sqrt{6}x=24+5sqrt{6}[/latex] [latex](3+sqrt{6})x=24+5sqrt{6}[/latex] [latex]x=frac{24+5sqrt{6}}{3+sqrt{6}}[/latex] [latex]x=frac{(24+5sqrt{6})(3-sqrt{6})}{(3+sqrt{6})(3-sqrt{6})}[/latex] [latex]x=frac{72-24sqrt{6}+15sqrt{6}-30}{9-6}[/latex] [latex]x=frac{42-9sqrt{6}}{3}[/latex] [latex]x=frac{3(14-3sqrt{6})}{3}[/latex] [latex]x=14-3sqrt{6}[/latex] [latex]3- (x+2)^2 = -4 (1+x) + (sqrt{3} -x) (x+sqrt{3})[/latex] [latex]3- (x^2+4x+4)= -4-4x + (sqrt{3} -x) (sqrt{3}+x)[/latex] [latex]3- x^2-4x-4= -4-4x + 3 -x^2[/latex] [latex]- x^2-4x-1= -x^2-4x-1[/latex] [latex]0=0[/latex] równanie nieoznaczone
