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The cube of a number equals 36 times the same number. Find the number(s).

 Aug 8, 2015

Best Answer 

 #1
avatar+17777 
+5

Equation:  x3  =  36x

This can be written as:  x3 - 36x = 0

Factoring:                 x(x2 - 36)  =  0

Factoring again:  x(x - 6)(x + 6)  =  0

So, the answers are:  0, 6, and -6.

 Aug 8, 2015
 #1
avatar+17777 
+5
Best Answer

Equation:  x3  =  36x

This can be written as:  x3 - 36x = 0

Factoring:                 x(x2 - 36)  =  0

Factoring again:  x(x - 6)(x + 6)  =  0

So, the answers are:  0, 6, and -6.

geno3141 Aug 8, 2015

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