Respuesta :

mhanifa

Answer:

  • Option B

Step-by-step explanation:

Solve the equation in steps below

  • [tex]x^4+3x^2+2=0[/tex]
  • [tex]x^4+x^2+2x^2+2=0[/tex]
  • [tex]x^2(x^2+1)+2(x^2+1)=0[/tex]
  • [tex](x^2+2)(x^2+1) = 0[/tex]
  • [tex]x^2+2=0[/tex] or [tex]x^2+1=0[/tex]
  • [tex]x^2=-2[/tex] or [tex]x^2=-1[/tex]
  • [tex]x=\sqrt{-2}[/tex] or [tex]x=\sqrt{-1}[/tex]
  • [tex]x=\pm\ i\sqrt{2}[/tex] or [tex]x=\pm\ i[/tex]

Correct choice is B

Otras preguntas