Find the exact solutions to the quadratic equation in the complex numbers.
-$$5 x ^ { 2 } + 55 = 0$$
A) $\pm i \sqrt { 11 }$
B) $\pm 11 \mathrm { i }$
C) $27.5$
D) $\pm \sqrt { 11 }$

Question

Quizplus · Accepted Answer

To solve the quadratic equation $5x^2 + 55 = 0$, first isolate the $x^2$ term: $5x^2 = -55$. Then, divide by 5: $x^2 = -11$. Taking the square root of both sides gives $x = \pm \sqrt{-11}$, which simplifies to $x = \pm i\sqrt{11}$, where $i$ is the imaginary unit.

Find the Exact Solutions to the Quadratic Equation in the Complex