Respuesta :

chetankachana

Answer:

x = i

Step-by-step explanation:

Hi!

Let's try solving for x in the equation [tex]wx^2 + 2 = 0[/tex]

Solve for x:

  • [tex]wx^2 + w = 0[/tex]
  • [tex]w(x^2 + 1) = 0[/tex] --> Factor w
  • [tex]x^2 + 1 = 0[/tex] --> Divide both sides by w
  • [tex]x^2 = -1[/tex] --> Subtract 1 from both sides
  • [tex]x = i[/tex] --> Take the square root of both sides

i is the imaginary term for the square root of -1. The square root of negative 1 cannot be calculated, thus refereed by mathematicians as an imaginary unit "i."

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