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Problem
Problem
If
α
,
β
\alpha, \beta
α
,
β
are the roots of
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
and
α
+
β
\alpha + \beta
α
+
β
,
α
2
+
β
2
\alpha^2 + \beta^2
α
2
+
β
2
,
α
3
+
β
3
\alpha^3 + \beta^3
α
3
+
β
3
are in GP, where
Δ
=
b
2
−
4
a
c
\Delta = b^2 - 4ac
Δ
=
b
2
−
4
a
c
, then a.
Δ
≠
0
\Delta \neq 0
Δ
=
0
b.
b
Δ
=
0
b\Delta = 0
b
Δ
=
0
c.
c
b
≠
0
cb \neq 0
c
b
=
0
d.
c
Δ
=
0
c\Delta = 0
c
Δ
=
0
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