Find the solutions of the equation. $x ^ { 3 } + 3 x ^ { 2 } + 5 x = 0$
A) $0$
B) $0 , - \frac { 3 } { 2 } \pm \frac { 1 } { 2 } \sqrt { 11 } i$
C) $0 , - \frac { 3 } { 2 } \pm \frac { 1 } { 2 } \sqrt { 11 }$
D) $0 , \frac { 3 } { 2 } \pm \frac { 1 } { 2 } \sqrt { 11 t }$
E) no solutions

Question

Quizplus · Accepted Answer

The equation can be factored as $x(x^2 + 3x + 5) = 0$. The solutions are $x = 0$ and the roots of the quadratic $x^2 + 3x + 5 = 0$, which are complex: $-\frac{3}{2} \pm \frac{1}{2} \sqrt{11} i$.

Find the Solutions of the Equation x3+3x2+5x=0x ^ { 3 } + 3 x ^ { 2 } + 5 x = 0x3+3x2+5x=0

Find the Solutions of the Equation $x ^ { 3 } + 3 x ^ { 2 } + 5 x = 0$