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Mathematics
Problem
The quadratic
(
k
+
1
)
x
2
+
2
(
k
−
3
)
x
+
4
=
0
(k+1)x^2 + 2(k-3)x + 4 = 0
(
k
+
1
)
x
2
+
2
(
k
−
3
)
x
+
4
=
0
is required to have two distinct real roots, and the coefficient of
x
2
x^2
x
2
must be positive. Determine the set of all real values of
k
k
k
that satisfy these conditions.
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