Question

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

Answer 1

`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`