Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
-$$100 x ^ { 3 } + 25 x ^ { 2 } + 4 x + 1 = 0$$
A) $\left\{ - \frac { 1 } { 4 } , \pm \frac { 1 } { 5 } \right\}$
B) $\left\{ - \frac { 1 } { 4 } , \pm \frac { 1 } { 5 } i \right\}$
C) $\{ - 4 , \pm 5 \}$
D) $\left\{ - \frac { 1 } { 4 } \right\}$

Question

Quizplus · Accepted Answer

The equation can be factored as $(10x^2 + 1)(10x + 1) = 0$, giving roots $x = -\frac{1}{10}$ and $x = \pm \frac{i}{5}$, which matches the choice with complex roots.

Choose the One Alternative That Best Completes the Statement or Answers