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Question
Mathematics
For x, y such that x>y>0, x y=4, find the minimum value of the expression E=((x+y)2/x-y).
Q. For
x
,
y
such that
x
>
y
>
0
,
x
y
=
4
, find the minimum value of the expression
E
=
x
−
y
(
x
+
y
)
2
.
78
103
Complex Numbers and Quadratic Equations
Report Error
Answer:
0008
Solution:
E
=
x
−
y
(
x
−
y
)
2
+
4
x
y
=
x
−
y
(
x
−
y
)
2
+
16
=
(
x
−
y
)
+
x
−
y
16
=
(
x
−
y
−
x
−
y
4
)
2
+
8
∴
E
≥
8
∴
E
m
i
n
=
8
.