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Mathematics
Mathematics
Problem
Let
α
,
β
\alpha, \beta
α
,
β
be the roots of the equation
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
. A root of the equation
a
3
x
2
+
a
b
c
x
+
c
3
=
0
a^3x^2 + abcx + c^3 = 0
a
3
x
2
+
ab
c
x
+
c
3
=
0
is: (a)
α
+
β
\alpha + \beta
α
+
β
(b)
α
2
+
β
\alpha^2 + \beta
α
2
+
β
(c)
α
2
−
β
\alpha^2 - \beta
α
2
−
β
(d)
α
2
β
\alpha^2\beta
α
2
β
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