tharlee2003 tharlee2003
  • 01-10-2019
  • Mathematics
contestada

What is the solution of the equation when solves over the complex numbers?
x^2+20=0

Respuesta :

wirick23aidan
wirick23aidan wirick23aidan
  • 01-10-2019

Answer:

(x=2i√5)(x=-2√5)

Answer Link
jimrgrant1 jimrgrant1
  • 01-10-2019

Answer:

x = ± 2i[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given

x² + 20 = 0 ( subtract 20 from both sides )

x² = - 20 ( take the square root of both sides )

x = ± [tex]\sqrt{-20}[/tex]

  = ± [tex]\sqrt{4(5)(-1)}[/tex]

  = ± [ [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex] ]

  = ± 2i[tex]\sqrt{5}[/tex]

Answer Link

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