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a and b are real numbers and satisfy a*b^2 = 27/5 and ab = 135.  Compute a + 5b.

 Jul 18, 2022
 #1
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ab^2   = 27/5

ab =   135                divide the first by the second and we  get

 

b =  27 / ( 135 * 5)  =   27 /  675  = 1/25

 

a ( 1/25)  =  135

 

a =   25 (135)    =   3375

 

a + 5b  = 

 

3375 + 5 (1/25)  =  

 

3375  + 1/5  =

 

3375. 20

 

 

cool cool cool

 Jul 18, 2022

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