SOLUTION: Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x^4 - 45x^2 - 196

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Question 1086751: Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x^4 - 45x^2 - 196
Found 2 solutions by jorel1380, MathTherapy:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x^4-45x^2-196=0
x^4-45x²-196=(x²-49)(x²+4)=0
(x²-49)(x²+4)=(x+7)(x-7)(x²+4)=0
So, the roots of your equation are 7, -7, and -2i.
☺☺☺☺

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x^4 - 45x^2 - 196
Correct answer: Other zeroes are: highlight_green%28matrix%281%2C5%2C+2i%2C+%22%2C%22%2C+-+7%2C+and%2C+7%29%29