Find a general formula for two squares whose sum = 2.
Let u, v be the Nos.
Then u² + v² = 2.
Evidently ‘(1 + k), (1 − k)’ is a form for the squares.
Also, if we write ‘2m²’ (which will not interfere with the problem, as we can divide by m², and get
(m²)/ |
(m²) |
(m²)/ |
(m²) |
Now, as these are squares, their resemblance to
A general form for this is
(x² − y² + 2xy)/ |
(x² + y²) |
(x² − y² − 2xy)/ |
(x² + y²) |
Q.E.F.