Algebraic division problem

Topic :Algebraic division

Algebra division is very similar to traditional long division, a division algebra is, roughly speaking, an algebra over a field in which division is possible.The easiest way to explain it is to work through an example.

Question:-

Solve        x2                   81
     ---------------    =    -----------
           x+9                   x+9

Solution:-

            x2              81
     ---------------  + -----------   =  0
           x+9             x+9


              x2 - 81
        --------------------   =  0
               x+9

        

                   x2 - 92
        ------------------------------  = 0
                    x+9


           (x+9)(x-9)
         --------------  =  0
             (x+9)

        
            x-9 = 0

            x= 9 Answer


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