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If the cube of a positive number is three times the square of the number times two, what is the number?

 Jul 13, 2022
 #1
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N^3  =  3N^2 * 2

 

N^3  - 6N^2  =  0

 

N^2  ( N - 6) =  0

 

N - 6  =  0

 

N = 6

 

cool cool cool

 Jul 13, 2022
 #3
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Chris, in step 3 could you have divided both sides by (N – 6)? 

Guest Jul 13, 2022
 #2
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If the cube of a positive number is three times the square of the number times two, what is the number?    

 

What I noticed was that         3 • n2 • 2  is the same as  6 • n2 

 

And since                                        n3   is the same as  n • n2  

 

Then you could say that             6 • n2  =  n • n2  

 

From which follows that                      n  =  6  

.

 Jul 13, 2022

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