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
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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
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Answer by
jorel1380(3719)
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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.
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Answer by
MathTherapy(10553)
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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:
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