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Mathematics
Mathematics
Problem
If
α
,
β
\alpha, \beta
α
,
β
are the roots of the quadratic equation
x
2
+
b
x
−
c
=
0
x^2 + bx - c = 0
x
2
+
b
x
−
c
=
0
, the equation whose roots are
b
b
b
and
c
c
c
, is a.
x
2
+
α
x
−
β
=
0
x^2 + \alpha x - \beta = 0
x
2
+
α
x
−
β
=
0
b.
x
2
−
[
(
α
+
β
)
+
α
β
]
x
−
α
β
(
α
+
β
)
=
0
x^2 - [(\alpha + \beta) + \alpha\beta]x - \alpha\beta(\alpha + \beta) = 0
x
2
−
[(
α
+
β
)
+
α
β
]
x
−
α
β
(
α
+
β
)
=
0
c.
x
2
+
[
(
α
+
β
)
+
α
β
]
x
+
α
β
(
α
+
β
)
=
0
x^2 + [(\alpha + \beta) + \alpha\beta]x + \alpha\beta(\alpha + \beta) = 0
x
2
+
[(
α
+
β
)
+
α
β
]
x
+
α
β
(
α
+
β
)
=
0
d.
x
2
+
[
(
α
+
β
)
+
α
β
]
x
−
α
β
(
α
+
β
)
=
0
x^2 + [(\alpha + \beta) + \alpha\beta]x - \alpha\beta(\alpha + \beta) = 0
x
2
+
[(
α
+
β
)
+
α
β
]
x
−
α
β
(
α
+
β
)
=
0
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