Ifxy=-30 and x^2+y^2=61 then find the value of (X+y)
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Answer:
±1
Given:
- xy = -30
- x² + y² = 61
Step-by-step explanation:
- Double 'xy = -30'
2xy = -60
- Add both 'xy = -30' and 'x² + y² = 61'.
x² + y² + 2xy = 61 - 60
x² + y² + 2xy = 1
- Factorise the LHS.
(x + y)² = 1
- Take the square root of both sides.
x + y = ± 1
- Thus the answer is +1 or -1.
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