Dividing (4) by 2 and taking the square root of the quotient,

Putting x = a + b and y = a − b, we have, from (1),

2a+20 a3b2 + 10 ab*= 275,

and, from (2),

:

2 a = 5.

(3)

(4)

Solving which, we obtain, b±, or ± 1√–55.

Using the values a =

=