Question

An equation has solutions of m= -5 and m=9. Which would be the equation?

Answer 1

`m^2-4m-45=0`

Explanation:

There are many more answers to this question, but if we're asking for some kind of polynomial equation, any polynomial with two solutions is of degree two. If
`m=-5`, we can also say that
`m+5=0`, and if
`m=9`, then
`m-9=0`. We can combine these two statements by saying that
`(m+5)(m-9)=0` when either
`m=-5` or
`m=9`. Expanding that equation out, we get the expanded form
`m^2-4m-45=0`

Answer 2

There could be many but one of them is

(m+5)(m-9)=0....