SOLUTION: Find all real and imaginary solutions to each equation. b^4 + 13b^2 + 36 = 0

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Question 37471: Find all real and imaginary solutions to each equation.
b^4 + 13b^2 + 36 = 0
Answer by venugopalramana(3286) About Me  (Show Source):
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Find all real and imaginary solutions to each equation.
b^4 + 13b^2 + 36 = 0
b^4+9b^2+4b^2+36=0
B^2(B^2+9)+4(B^2+9)=0
(B^2+9)(B^2+4)=0
(B+3i)(B-3i)(B+2i)(B-2i)=0
HENCE B=3i,OR........ -3i,OR..........2i,OR...-2i