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13 votes
13 votes
Solve. Enter answers separated by a comma. 5 m 3 − 40 m 2 + 75 m = 0

Solve. Enter answers separated by a comma. 5 m 3 − 40 m 2 + 75 m = 0-example-1
User Marsha
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1 Answer

12 votes
12 votes

Answer:


m=0,3,5

Step-by-step explanation:

We were given the equation:


5m^3-40m^2+75m=0

We are to solve it as shown below:


\begin{gathered} 5m^(3)-40m^(2)+75m=0 \\ \text{Let's factor the equation into a simpler form, we have} \\ m(5m^2-40m+75)=0 \\ m=0 \\ 5m^2-40m+75=0 \\ \text{Simplifying this equation by dividing through by ''5'', we have:} \\ m^2-8m+15=0 \\ \text{Factorising, we have:} \\ m^2-5m-3m+15=0 \\ m(m-5)-3(m-5)=0 \\ (m-3)(m-5)=0 \\ \Rightarrow m-3=0,m-5=0 \\ m=3,m=5 \\ \\ \therefore m=0,3,5 \end{gathered}

Therefore, m equals 0, 3, 53

User Yosef Weiner
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2.6k points