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Mathematics
Mathematics
Problem
For the ellipse
x
2
49
+
y
2
25
=
1
,
\frac{x^{2}}{49}+\frac{y^{2}}{25}=1,
49
x
2
+
25
y
2
=
1
,
find the set of all real numbers
t
t
t
for which the point
(
5
,
t
)
(5,t)
(
5
,
t
)
lies outside the ellipse. Express your answer as an inequality in
t
t
t
.
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