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Mathematics
Mathematics
Problem
Find the integral value of
α
\alpha
α
for which the point
(
7
−
5
α
4
,
−
α
)
\left(7 - \frac{5\alpha}{4}, -\alpha\right)
(
7
−
4
5
α
,
−
α
)
lies inside the ellipse
x
2
25
+
y
2
16
=
1
\frac{x^2}{25} + \frac{y^2}{16} = 1
25
x
2
+
16
y
2
=
1
.
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