factorise x2 - x + 12

Dear student

f (x) = x^{2} - x + 12 x = \frac{1 \pm \sqrt{1 - 4 (12)}}{2} x = \frac{1 \pm \sqrt{1 - 48}}{2} x = \frac{1 \pm \sqrt{- 47}}{2} x = \frac{1 \pm \sqrt{47} i}{2} S o, x^{2} - x + 12 = (x - (\frac{1 + \sqrt{47} i}{2})) (x - (\frac{1 - \sqrt{47} i}{2}))