Question

determine as raízes das equações a seguir no universo dos números complexos
x²-2x+50=0

a)1 ±7i
b)7±i
c)2±14i
d)14±2i​

Answer 1

$\large Letra ~a) ~ {1 \pm 7 . i}$

                                $\LargeEquac_{\!\!,}\tilde ao ~de ~2^o ~Grau.$

Encontrar o valor do discriminante Delta ( Δ )  

$\Delta = b^2 -4ac\\\\\Delta = (-2)^2 - 4 ~* ~( 1) ~* ~50\\\\\Delta = 4 - 200\\\\\Delta = -196$

Formula de Bháskara:

$x = \dfrac{-b \pm \sqrt{\Delta}}{2a}\\\\\\ x = \dfrac{-(-2) \pm \sqrt{\-196}}{2~* ~1}\\\\\\ x = \dfrac{2 \pm \sqrt{\-196}}{2}\\\\\\x = \dfrac{2 \pm \sqrt{\196} . i}{2} \\\\\\x = \dfrac{2 \pm 14 . i}{2} \\\\\\x = {1 \pm 7 . i}$

===

Para saber mais:

https://brainly.com.br/tarefa/658245

https://brainly.com.br/tarefa/36109797

https://brainly.com.br/tarefa/1460445