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Solution
Given :-
- x² + y² = 11 _______(1)
- xy = -1 ___________(2)
Find ;-
- Value of x + y & x - y
Explanation
We know,
★ x + y = √(x²+y²) + 2xy
★ x - y = √(x² + y²)- 2xy
So,
➡ x + y = ±√[(11) + 2×-1]
➡x + y = ±√[11 - 2]
➡x + y = ±√9
➡x + y = ± 3
Now, Again,
➡ x - y = √(x² + y²) - 2xy
➡x - y = ±√[11 - 2×-1]
➡x - y = ±√[11 + 2]
➡x - y = ±√13
Hence
- Value of x + y = ±3
- Value of x - y = ± √13
_______________
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