Question

4. 1p a)Rezolvati ecuatia: x²+x+1=0​

Answer 1

$x {}^{2} + x + 1 = 0 \\ a = 1 \\ b = 1 \\ c = 1 \\ \implies \: x = \frac{ - 1\pm \sqrt{1 {}^{2} - 4 \times 1 \times 1 } }{2 \times 1} \\ \\ \implies \: x = \frac{ - 1\pm \sqrt{ - 3} }{2} \\ \\ \iff \: x\not\in\mathbb{R}$

dar solutiile complexe sunt

$x_1=\dfrac{-1+\sqrt{3}i}{2}\\\\ x_2=\dfrac{-1-\sqrt{3}i}{2}$