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Find all real numbers a that satisfy
1/(a^3 + 7) = -a^3/(a^3 + 7)

 Nov 6, 2022
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Find all real numbers a that satisfy  
1/(a^3 + 7) = -a^3/(a^3 + 7)
  

 

                                                     1                     a3  

Set it up like this                     –––––––   =   ––––––––  

                                               (a3 + 7)             (a3 + 7)  

 

Multiply both sides  

by (a3 + 7) and obtain                   1         =       – a3  

 

Multiply both sides  

by –1 and obtain                                a3   =   –1  

 

The only value I know that  

will satisfy the equation is                      a  =  –1  

 

By the way.....

When you look at the denominator in the expressions, the  

first thing that should leap out at you is that you can never   

cause a3 to equal –7 because that would result in a division    

by zero, which is the only forbidden function in mathematics.  

 Nov 6, 2022

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