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

Thomas Auinger asked Dec 21, 2023

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Thomas Auinger asked Dec 21, 2023

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17 votes

$f(x) = (3 {x}^(4) + 1) {}^(2) \\ f(x) = 0 \\ (3 {x}^(4) + 1) {}^(2) = 0 \\ 3x {}^(4) + 1 = 0 \\ 3x {}^(4) = -1 \\ x {}^(4) = ( - 1)/(3)$

$f(x) \: admits \: no \: real \: roots$

Gibin Ealias answered Dec 25, 2023

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