Question

An equation has solutions of m = –5 and m = 9. Which could be the equation?

Answer 1

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

Explanation:

`color(blue)("Asumming your wording is correct")`

You use the wording "`color(brown)("An equation")`". This very clearly declares that there is just one equation. One possibility is that of a quadratic.

This being so we have at least 2 formats and these are `nn` and `uu`

I will be ignoring other variations on these. `sub and sup`

Set `y=am^2+bm+c`

`color(blue)("Consider the format "uu)`

This structure as the `m^2` term as positive

`m=-5 and m=9 ->(m+5)(m-9)=0`

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

`color(brown)("We only need 1 equation that works. The question states: ''Which could be "ul("the")" equation''")`