Question

Solve this quadratic equation and explains the steps to help you solve it . Also which two specific methods help you to solve it: Is it quadratic formula, Factoring, Square Root Property or Completing square. And explains.

Answer 1

Recall that the quadratic formula states that, the solutions to the quadratic equation

$ax^2+bx+c=0$

are

$\frac{-b\pm\sqrt{(-b)^2-4ac}}{2a}.$

Now, in the given equation, a=-1 ,b=-6, and c= 8. Therefore, the solutions to the equation are:

$x=\frac{6\pm\sqrt{36+32}}{-2}.$

Simplifying the above result, we get:

$x=-3\pm(-1)\sqrt{17}.$

Answer:

$\begin{gathered} x_1=-3+\sqrt{17,} \\ x_2=-3-\sqrt{17}. \end{gathered}$