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Given :-
2/√x + 3/√y = -1
4/√x - 9/√y = 1
Let,
1/√x = a and 1/√y = b
[2a + 3b = -1 ] × 4 ---(1)
[4a - 9b = 1 ] × 2 ----(2)
8a + 12b = -4
8a - 18b = 2
- + -
_____________
30b = -6
b = -1/5
Putting 'b' in 1
2a + 3 × -1/5 = -1
2a = -1 + 5/3
2a = -2/3
a = -1/3
b = -1/5
1/√x = -1/3
√x = -3
On squaring both sides,
x = 9
similarly,
y = 25
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