Question

2 x^2+2 x=-1 Resposta

Answer 1

$2x^2 + 2x = -1 \\ \\ 2x^2 + 2x + 1 = 0$

Por Bháskara:

$x = \dfrac{-b \pm \sqrt{b^2 -4*a*c}}{2*a}$

a=2, b=2, c=1

Δ=b²−4ac
Δ=(2)²−4*(2)*(1)
Δ=4−8
Δ= −4

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Solução para o conjunto dos números complexos:

$x = \dfrac{-b \pm \sqrt{\triangle}}{2*a}$

$x = \dfrac{-2 \pm \sqrt{-4}}{2*2} \\ \\ \\ x = \dfrac{-2 \pm \sqrt{4}i}{4} \\ \\ \\ x = \dfrac{-2 \pm 2 \ i}{4} x' = \dfrac{-2 + 2 \ i}{4} \\ \\ \\ x' = -\dfrac{1 - i}{2} \\ \\ \\ x'' = \dfrac{-2 - 2 \ i}{4} \\ \\ \\ x'' = -\dfrac{1 + i}{2}$


S = {$-\dfrac{1 - i}{2} \ \ , -\dfrac{1 + i}{2}$