Rozwiaz rownanie .wielomiany X^4+5=6x^2

[latex]x^4 + 5 = 6x^2[/latex] [latex]x^4 -6x^2 + 5 = 0[/latex] Niech: [latex]x^2 = t[/latex] [latex]t^2 -6t + 5 = 0[/latex] Δ=36-20=16 √Δ=4 [latex] t_{1} = frac{6-4}{2} = 1[/latex] [latex] t_{2} = frac{6+4}{2} = 5[/latex] Postać iloczynowa: [latex](t-1)(t-5)=0[/latex] [latex](x^2-1)(x^2-5)=0[/latex] [latex](x-1)(x+1)(x-sqrt{5})(x+sqrt{5}) = 0[/latex] [latex]x_{1} = 1[/latex] [latex]x_{2} = -1[/latex] [latex]x_{3} = sqrt{5[/latex] [latex]x_{4} = -sqrt{5[/latex]