SOLUTION: b^4 + 13b^2 + 36 = 0 find all real and imaginary solutions to the equation

Question 192279This question is from textbook Elementary and intermediate algebra
: b^4 + 13b^2 + 36 = 0 find all real and imaginary solutions to the equation This question is from textbook Elementary and intermediate algebra

Found 2 solutions by Alan3354, Earlsdon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
b^4 + 13b^2 + 36 = 0 find all real and imaginary solutions to the equation
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(b^2+4)*(b^2+9) = 0
b = +2i, -2i, +3i, -3i
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for b:
Rewrite this as a quadratic equation:
Factor:
Apply the zero product rule:
or so...
or
Take the square root of both sides.
or these can be written as:
or where
Take the square root of both sides.
or these can be written as:
or
The roots are:

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