Solve the cubic equation using factoring and the quadratic formula.
-$$x ^ { 2 } + 3 = 0$$
A) $\pm 3$
B) $\pm \sqrt { 3 }$
C) $\pm 3 i$
D) $\pm \mathrm { i } \sqrt { 3 }$

Question

Quizplus · Accepted Answer

To solve the equation $x^2 + 3 = 0$, we first move 3 to the other side to get $x^2 = -3$. Taking the square root of both sides gives $x = \pm \sqrt{-3}$, which simplifies to $x = \pm i\sqrt{3}$, where $i$ is the imaginary unit.

Solve the Cubic Equation Using Factoring and the Quadratic Formula x2+3=0x ^ { 2 } + 3 = 0x2+3=0

Solve the Cubic Equation Using Factoring and the Quadratic Formula $x ^ { 2 } + 3 = 0$