Question

Descompuneti in factori: x^2-x+1

Answer 1

[tex]x^2-x+1\\~ \Delta = 1-4 = -3\\~ x_1 = \frac{1+i\sqrt{3}}{2}\\~ x_2 = \frac{1-i\sqrt{3}}{2}\\~ x^2-x+1 = (x-\frac{1+i\sqrt{3}}{2})(x-\frac{1-i\sqrt{3}}{2})[/tex]