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Find all the zeros of the equation. -4x4 - 44x2 + 3600 = 0
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Aug 2, 2018
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Find all the zeros of the equation. -4x4 - 44x2 + 3600 = 0
Mathematics
high-school
IsakBosman
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-5, 5, 6i, -6i
Is 100% correct!
Simlmx
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Aug 4, 2018
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Simlmx
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-4X^4 - 44x^2 + 3600 = 0
divide through by -4:-
x^4 + 11x^2 - 900 = 0
900 = 36 * - 25 and 11 = 36-25 so the factors are
(x^2 + 36)(x^2 - 25) = 0
x^2 = - 36 giving x = 6i and -6i
x^2 = 25 giving x = 5 and x = -5
solution set is {-5, 5, 6i, -6i}
R Ubben
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Aug 8, 2018
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