Answer:
x + y = 26
Step-by-step explanation:
The idea is to express (x+y)^2 via given data, and then take square root of this expression (of this number).
It will be exactly (x+y).
So,
[tex](x+y)^{2} =(x-y)+4xy=(8*\sqrt{2} )^{2} + 4*137 = 64*2 + 4*137 = 676.[/tex]
[tex]Therefore, (x+y) = \sqrt{676} =26[/tex]
Answer: [tex]x + y = 26.[/tex]
