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Mathematics
Mathematics
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
, then the equation whose roots are
2
+
α
,
2
+
β
2 + \alpha, 2 + \beta
2
+
α
,
2
+
β
, is: (a)
a
x
2
+
x
(
4
a
−
b
)
+
4
a
−
2
b
+
c
=
0
ax^2 + x(4a - b) + 4a - 2b + c = 0
a
x
2
+
x
(
4
a
−
b
)
+
4
a
−
2
b
+
c
=
0
(b)
a
x
2
+
x
(
4
a
−
b
)
+
4
a
+
2
b
+
c
=
0
ax^2 + x(4a - b) + 4a + 2b + c = 0
a
x
2
+
x
(
4
a
−
b
)
+
4
a
+
2
b
+
c
=
0
(c)
a
x
2
+
x
(
b
−
4
a
)
+
4
a
+
2
b
+
c
=
0
ax^2 + x(b - 4a) + 4a + 2b + c = 0
a
x
2
+
x
(
b
−
4
a
)
+
4
a
+
2
b
+
c
=
0
(d)
a
x
2
+
x
(
b
−
4
a
)
+
4
a
−
2
b
+
c
=
0
ax^2 + x(b - 4a) + 4a - 2b + c = 0
a
x
2
+
x
(
b
−
4
a
)
+
4
a
−
2
b
+
c
=
0
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