If x 2 – y 2 = 101, find the value of x 2 + y 2 ,
given that x and y are natural numbers.

• x^2 – y^2 = 101
  => (x+y)*(x-y) = 101*1
  
  x+y = 101
  x-y = 1
  
  so, x = 51, y = 50
  
  (x^2 + y^2) = 51^2 + 50^2 = 5101
• 9 years agoHelpfull: Yes(47) No(1)
• x2-y2=(x-y) (x+y)=101. 101 is a prime number, so it can be broken into the product of two positive multiples only in one way 101=1*101.
  Now, since x and y are positive integers, then
  x-y
• 9 years agoHelpfull: Yes(2) No(0)
• x=51 and y=50
  
• 9 years agoHelpfull: Yes(0) No(0)
• ans is 5101
  
• 9 years agoHelpfull: Yes(0) No(0)