Question

1-resolva a equaçao x2-2x+5=0 em numeros complexo

Answer 1

x² - 2x + 5 = 0

a=1
b=-2
c=5

Δ=b²-4ac
Δ=(-2)^2-4(1)(5)
Δ=4 -20
Δ= -16
√-16= √i²16= 4i

$x= \frac{-b\pm \sqrt{\Delta} }{2a} =~~ \frac{-(-2)\pm \sqrt{-16} }{2} = \frac{2\pm4i}{2} = \frac{2(1\pm2i)}{2} =1\pm2i \\ \\ x'=1+2i \\ \\ x"=1-2i$