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Question

The sum of a number and its square is one half times their difference . Find the number 


  1.   x=5 

  2.   x=2 

  3.   x=3 

  4.   x=7 


Solution

The correct option is A

  x=5 


Let the number be x 

              then its square is x2 

Given that  x+x2 = 112(x2x) 

                 x+x2 = 32(x2x)  

                2x+2x2 = 3(x2x) 

                         - x2=5x 

                              x=5 

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