Răspuns:
[tex]\bigg\{-\dfrac{1}{2} - i;-\dfrac{1}{2} + i\bigg\}[/tex]
Explicație pas cu pas:
[tex]4x^2 + 4x + 5 = 0[/tex]
[tex]\Delta = 4^2 - 4\cdot4\cdot5 = 16-80 = -64[/tex]
[tex]x_1 = \dfrac{-4-\sqrt{-64} }{2\cdot4} = \dfrac{-4-8i}{8} = -\dfrac{1}{2} - i\\[/tex]
[tex]x_1 = \dfrac{-4+\sqrt{-64} }{2\cdot4} = \dfrac{-4+8i}{8} = -\dfrac{1}{2} + i\\[/tex]
