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

asked Aug 12, 2019 184k views

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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

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7 votes

Answer:

Answer

-1,1,-2i,2i

Metaphyze answered Aug 14, 2019

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3 votes

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

Step-by-step explanation:

$x^4+3x^2-4 = 0\\x^2 \rightarrow z\\z^2 + 3z -4 = 0 \\z_1 = -4\\z_2 = 1\\x_(1,2) = \pm√(-4)=\pm 2 i\\x_(3,4) = \pm 1$

Alexanderkuk answered Aug 18, 2019

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