65.3k views
3 votes
Find the solution for this equation: -m^2 + 8m = 0, separate the two values with a comma.

a) m = 0, m = 8
b) m = 0, m = 8 or m = 0, m = 8
c) m = 0 or m = 8
d) m = 0 and m = 8

User Sreyas
by
9.2k points

1 Answer

2 votes

Final answer:

The solution to the equation -m^2 + 8m = 0 is found by factoring out an m and using the zero product property, yielding two solutions, m = 0 and m = 8. The correct answer is option (a).

Step-by-step explanation:

To find the solution for the equation -m^2 + 8m = 0, we can factor out an m from each term, since it is common to both terms. This gives us m(-m + 8) = 0. Now, according to the zero product property, we know that if a product of two factors equals zero, then at least one of the factors must be zero. So, we set each factor equal to zero and solve for m separately.

m = 0 is the first solution since it's one of the factors. The second factor, -m + 8 = 0, can be solved by adding m to both sides to get m = 8 as the second solution. Therefore, the two values that solve the equation are m = 0 and m = 8.

The correct answer to the student's question, separating the values with a comma, is m = 0, m = 8, which corresponds to option (a).

User Libelle
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories