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Mathematics
Mathematics
Problem
Find all values of the parameter
a
a
a
for which the quadratic equation
(
a
+
1
)
x
2
+
2
(
a
+
1
)
x
+
a
−
2
=
0
(a+1)x^2 + 2(a+1)x + a - 2 = 0
(
a
+
1
)
x
2
+
2
(
a
+
1
)
x
+
a
−
2
=
0
(i) has two distinct roots. (ii) has no roots. (iii) has two equal roots.
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