Question

If x and y are positive integers and x2 - y2 = 101, find the value of x² + y2
Select one:
O A. 5101
© B. None
O C.5150
OD. 5050​

Answer 1

Answer:

${x}^{2} - {y}^{2} = 101 \\ {x}^{2} - {y}^{2} = 100 + 1 \\ {x}^{2} - {y}^{2} ={10}^{2} + {1}^{2} \\(x + y)(x - y) = {(10 + 1)}^{2} - 2 \times 10 \times 1$