Question

Solve this Quadratic solution and break it down step by step? Also, which two ways methods did you used such as Quadratic Formula, Factoring, Square Root Property or Completing the Square and why? Please break it down for me so that I can understand the steps. Thank you.

Answer 1

Given the following quadratic equation:

`-x^2-6x+8=0`

To solve the equation, we will use the quadratic rule or make a complete square of the given expression

We will use the quadratic rule:

`x=(-b\pm√(b^2-4ac))/(2a)`

As shown, a = -1, b = -6, c = 8

Substitute a, b, and c

`\begin{gathered} x=(-(-6)\pm√((-6)^2-4(-1)(8)))/(2(-1)) \\ \\ x=(6\pm√(68))/(-2) \\ \\ x=(6-√(68))/(-2)\approx-7.123 \\ \\ or,x=(6+√(68))/(-2)=1.123 \end{gathered}`

So, the answer will be: x = {-7.123, 1.123}