Question

Find a solution for the equation. x^2-6x-8=0

Answer 1

Given:

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

Required:

To find the solution of the given equation.

Step-by-step explanation:

From the given equation,

`\begin{gathered} a=1 \\ b=-6 \\ c=-8 \end{gathered}`

Now

`x=(-b\pm√(b^2-4ac))/(2a)`

Therefore,

`x=(-(-6)\pm√((-6)^2-4(1)(-8)))/(2(1))`
`\begin{gathered} x=(6\pm√(36+32))/(2) \\ \\ =(6\pm√(68))/(2) \\ \\ =(6\pm2√(17))/(2) \\ \\ =(2(3\pm√(17)))/(2) \\ \\ =3\pm√(17) \end{gathered}`

Final Answer:

The solutions are

`x=3+√(17),3-√(17)`