root x + y = 7 and x + root y = 11. Find x and y?

Asked by  | 1st Jul, 2011, 01:45: AM

Expert Answer:

Here the sum of and y is 7. So, x has to be a positive number as square root of negative no. is not permissible.
 
Similarly, y has to be a positive number as square root of negative no. is not permissible.
 
Also, x and y have to be perfect squares as the sums in question are natural no. ( 7 & 11 )
 
The perfect squares less than or equal to 11 are 1, 4, 9.
 
By Hit and Trial method,
  let x = 9 , y = 4
 
Hence the solution is  x =  9 , y = 4

Answered by  | 1st Jul, 2011, 12:29: PM

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