if x+y=7 by2 and xy=5by2;find:(i)x-y
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Answer:
Given,
x+y=
2
7
,xy=
2
5
we know, (x+y)
2
−(x−y)
2
=4xy
=>(
2
7
)
2
−(x−y)
2
=4×
2
5
=>(
4
49
)−(x−y)
2
=
2
20
=>−(x−y)
2
=
2
20
−
4
49
=>−(x−y)
2
=
4
40−49
=>−(x−y)
2
=−
4
9
=>x−y=
4
9
=>x−y=±
2
3
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