Question

An equation has solutions of m = _5 and m = 9. Which could be the equation?

(m + 5)(m _ 9) = 0

(m _ 5)(m + 9) = 0
m2 _ 5m + 9 = 0
m2 + 5m _ 9 = 0

Answer 1

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

Explanation:

We have been given that an equation has solutions of
`m=-5` and
`m=9`. We are asked to the equation, which represents these solutions.

Let us check our given choices:

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

Using zero product property, we will get:

`m+5=0\text{ (or) }m-9=0`

`m+5-5=0-5\text{ (or) }m-9+9=0+9`

`m=-5\text{ (or) }m=9`

Therefore, option A is the correct choice.

Answer 2

I think the correct answer from the choices listed above is the first option. The equation (m + 5)(m - 9) = 0 has solutions of m = -5 and m = 9. Hope this answers the question. Have a nice day. Feel free to ask more questions. Thank you.