Question

What are the solutions to the quadratic equation x^2 + 4x + 8 = 0?O x=-8 or x=0O X=-4 or x=0O x=-2+4iO X=-2+2i

Answer 1

We want to fins the solutions of the quadratic equation

$x^2+4x+8=0$

Solution

We use the formula method to solve the quadratic equation

Given a quadratic equation

$ax^2+bx+c=0$

then

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

From the given question

$\begin{gathered} a=1 \\ b=4 \\ c=8 \end{gathered}$

Using the formula method to solve by imputing the parameters

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-4\pm\sqrt[]{4^2-4(1)(8)}}{2(1)} \\ x=\frac{-4\pm\sqrt[]{16^{}-32}}{2} \\ x=\frac{-4\pm\sqrt[]{-16^{}}}{2} \\ x=\frac{-4\pm4i}{2} \\ x=-2\pm2i \end{gathered}$

Thus,

$undefined$