[tex] \large \bold{SOLUTION:} [/tex]
[tex] \begin{array}{l} \textsf{Set }P(x) = 0,\textsf{then solve for }x. \\ \\ P(x) = x^4 - 5x^2 - 14 \\ \begin{aligned} x^4 - 5x^2 - 14 &= 0 \\ (x^2 - 7)(x^2 + 2) &= 0 \end{aligned} \\ x^2 - 7 = 0 \:\: \big | \:\: x^2 + 2 = 0 \\ \implies x^2 = 7 \\ \implies \boxed{x = \pm \sqrt{7}} \\ \\ \textsf{The given polynomial have 2 real and} \\ \textsf{2 imaginary roots.} \end{array} [/tex]
[tex] \blue{\mathfrak{\#CarryOnLearning}} [/tex]
