An equation has solutions of m=-5 and m=9. which could be the equation?

Equation m² - 4m - 45 = 0.

Step-by-step explanation:

Given  : An equation has solutions of m=-5 and m=9.

To find :  Which could be the equation.

Solution : We have given solutions m = -5 and m=9.

For, m = -5 .

On adding both sides by 5

m + 5 = 0

For m = 9

On subtracting both sides by 9

m - 9 = 0

Then  

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

On distributing m over m-9 and 5 over m - 9 .

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

m² - 9m + 5m - 45 = 0.

m² - 4m - 45 = 0.

Therefore, Equation m² - 4m - 45 = 0.