InnocentSoul InnocentSoul

09-11-2018
Mathematics

contestada

What are the real and complex solutions of the polynomial equation x^4+3x^2-4
A. -1,1
B. 1,2i
C. -1,1,-2,2
D. -1,1,-2i,2i

Respuesta :

remotecontrolbrain remotecontrolbrain

09-11-2018

Answer: (D) -1,1,-2i,2i

Explanation:

[tex]x^4+3x^2-4 = 0\\x^2 \rightarrow z\\z^2 + 3z -4 = 0 \\z_1 = -4\\z_2 = 1\\x_{1,2} = \pm\sqrt{-4}=\pm 2 i\\x_{3,4} = \pm 1[/tex]

Answer Link

alexisusa alexisusa

11-11-2020

Answer:

Answer

-1,1,-2i,2i

Answer Link

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