an equation has solutions of m = -5 and m = 9. which could be the equation? (m + 5)(m - 9) = 0 (m - 5)(m +…
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
Explanation:
Step1: Recall zero - product property
If (x = a) and (x = b) are solutions of an equation, then ((x - a)(x - b)=0).
Step2: Identify (a) and (b) values
Given (m=- 5) and (m = 9), so (a=-5) and (b = 9).
Step3: Form the equation
Substitute (a) and (b) into ((m - a)(m - b)=0), we get ((m-(-5))(m - 9)=0), which simplifies to ((m + 5)(m - 9)=0).
Answer:
((m + 5)(m - 9)=0) (the first option)