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The operation star is defined as a star b = a^2/b. For how many integer values of x will the value of 10 star x be a positive integer?

 Jun 25, 2018
 #1
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a * b   = a^2/b

 

a  =  10

 

So

 

a^2  = 100

 

So...we are looking for all the divisors of 100.....these are

 

1  2   4   5    10    20     25    50     100

 

So...x  will take on 9 values

 

 

cool cool cool

 Jun 25, 2018

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