rozwiąz równania x2-10x+9=0 4x2+36x+81=0

[latex]\x^2-10x+9=0 \ \x^2-x-9x+9=0 \ \x(x-1)-9(x-1)=0 \ \(x-1)(x-9)=0 \ \x-1=0 vee x-9=0 \ \Odp. xin{1, 9} \ \4x^2+36x+81=0 \ \(2x+9)^2=0 \ \2x+9=0 \ \2x=-9 \ \x=-4,5[/latex]

[latex] x^{2} - 10x +9=0[/latex] Δ= 100 - 4x1x9= 100 - 36= 64 √Δ = 8 [latex] x_{1} [/latex] = [latex] frac{10-8}{2} = 1[/latex] [latex] x_{2}= frac{10 +8}{2} = 9[/latex] [latex] 4x^{2} +36x+81=0 [/latex] Δ= 1296 - 4x4x81 = 0 [latex] x_{0} [/latex]= [latex] frac{-36}{8} = 4,5[/latex]