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

`(-b\pm√((-b)^2-4ac))/(2a).`

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

`x=(6\pm√(36+32))/(-2).`

Simplifying the above result, we get:

`x=-3\pm(-1)√(17).`

Answer:

`\begin{gathered} x_1=-3+√(17,) \\ x_2=-3-√(17). \end{gathered}`