f-x-x-6-3-x-4-4x-2-find-the-zeros-

Question Number 58103 by smiak8742 last updated on 17/Apr/19

f (x) = - x^{6} + 3 x^{4} + 4 x^{2} f i n d t h e z e r o s

Answered by MJS last updated on 17/Apr/19

x^{6} - 3 x^{4} - 4 x^{2} = 0

x^{2} (x^{4} - 3 x^{2} - 4) = 0

x_{1} = x_{2} = 0

x^{4} - 3 x^{2} - 4 = 0

x = \sqrt{t}

t^{2} - 3 t - 4 = 0

t_{1} = - 1; t_{2} = 4

\Rightarrow x_{3} = - i; x_{4} = i; x_{5} = - 2; x_{6} = 2

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