[tex]1+x+x^2+x^3+...+x^n = \frac{1-x^{n+1}}{1-x} [/tex]
[tex]1+x+x^2+...+x^{99} = 0 [/tex]
[tex] \frac{1-x^{100}}{1-x} = 0 [/tex]
CE: x =/= 1
[tex]1-x^{100} = 0 [/tex]
[tex]x^{100} = 1[/tex]
[tex]x^n = f(x)[/tex], n este numar par => [tex]x = \sqrt[n]{f(x)} ; -\sqrt[n]{f(x)} [/tex]
[tex]x_1 = 1^{ \frac{1}{100}};x_2=-1^{ \frac{1}{100} }[/tex]
[tex]x_1 = 1 [/tex] - Nu convine
[tex]x_2 = -1[/tex]
