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Find all values of x such that 6 = 35/x - 49/x^2 + 5/x^2. If you find more than one value, then list your solutions in increasing order, separated by commas.

 Aug 3, 2022
 #1
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Multiply through by x^2

 

6x^2  = 35x  - 49  + 5      

 

6x^2  = 35x - 44      rearrange as

 

6x^2 - 35x + 44  =  0

 

(x - 4) ( 6x - 11)  =  0

 

x - 4 = 0                 6x - 11  =  0

 

x  = 4                       6x  = 11

 

                                 x  =11/ 6

 

 

x =  11/6  ,  4

 

 

 

cool cool cool

 Aug 3, 2022

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