Question

How do you solve the quadratic `x^2-2x-8=0` using any method?

Answer 1

`x in {-2,4}`

Explanation:

`x^2-2x-8=0` can be factored as
`color(white)("XXX")(x+2)(x-4)=0`
which implies
either
`color(white)("XXX")x+2=0color(white)("XX")rarrcolor(white)("XX")x=-2`
or
`color(white)("XXX")x-4=0color(white)("XX")rarrcolor(white)("XX")x=4`