Answer:
Equation m² - 4m - 45 = 0.
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.