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

An equation clearly declares that there is just one equation.

Answer: An equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.

Let's solve it step by step.

Explanation:

Given solutions m = -5, and m = 9 

⇒ (m + 5) (m - 9) = 0

One possibility is that of a quadratic equation.

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

y = m² - 9m + 5m - 45

Y = m² - 4m - 45

Thus, an equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.