Answer
x=-2, -4
Work Step by Step
Provided equation is ${{x}^{2}}+6x+8=0$.
Consider the quadratic equation of the form \[a{{x}^{2}}+bx+c=0\].
So, the solution of quadratic equation is given by the formula,
\[x=\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a}\]
Procedure for solving the quadratic equation.
Rule 1: Arrange the equation in the decreasing order of power of\[x\] as:
${{x}^{2}}+6x+8=0$
Rule 2: For calculation of solution of the provided equation,use the above-mentioned formula as:
For the equation ${{x}^{2}}+6x+8=0$, the value of \[a,b\] and \[c\]is:
\[\begin{align}
& a=1 \\
& b=6 \\
& c=8
\end{align}\]
Now, by application of above formula, the solution is:
$\begin{align}
& x=\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a} \\
& =\frac{-6\pm \sqrt{{{6}^{2}}-4\times 1\times 8}}{2\times 1} \\
& =\frac{-6\pm \sqrt{4}}{2} \\
& =-2,-4
\end{align}$
By the use of quadratic equation formula, solution is calculated.
