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=(-4\pm4i)/(2) \\ x=-2\pm2i \end{gathered}`

Thus,