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Find all values of  such that

\(\[9 + \frac{27}{x} + \frac{8}{x^2} = 0.\]\)
If you find more than one value, then list your solutions, separated by commas.

 Jun 3, 2021
 #1
avatar+121054 
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9  +  27/x   +  8  / x^2   =  0      multiply  through by   x^2

 

9x^2  +  27x  +  8   =   0         factor   as

 

(3x  + 1)  (3x + 8)   =  0

 

Setting  each factor  to 0 and solving for  x  we get  that

 

x = 1/ 3         or       x =    -8/3

 

 

cool cool cool

 Jun 3, 2021

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