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08-09-2022
Mathematics

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Determine the total number of roots f(x) = (3x^4 + 1)^2

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08-09-2022

[tex]f(x) = (3 {x}^{4} + 1) {}^{2} \\ f(x) = 0 \\ (3 {x}^{4} + 1) {}^{2} = 0 \\ 3x {}^{4} + 1 = 0 \\ 3x {}^{4} = -1 \\ x {}^{4} = \frac{ - 1}{3} [/tex]

[tex]f(x) \: admits \: no \: real \: roots[/tex]

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