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Mathematics
Mathematics
Problem
If
β
+
cos
2
α
,
β
+
sin
2
α
\beta + \cos^2 \alpha, \beta + \sin^2 \alpha
β
+
cos
2
α
,
β
+
sin
2
α
are the roots of
x
2
+
2
B
x
+
C
=
0
x^2 + 2Bx + C = 0
x
2
+
2
B
x
+
C
=
0
and
γ
+
cos
4
α
,
γ
+
sin
4
α
\gamma + \cos^4 \alpha, \gamma + \sin^4 \alpha
γ
+
cos
4
α
,
γ
+
sin
4
α
are the roots of
x
2
+
2
b
x
+
c
=
0
x^2 + 2bx + c = 0
x
2
+
2
b
x
+
c
=
0
, then: (a)
b
−
B
=
c
−
C
b - B = c - C
b
−
B
=
c
−
C
(b)
b
2
−
B
2
=
c
−
C
b^2 - B^2 = c - C
b
2
−
B
2
=
c
−
C
(c)
b
2
−
B
2
=
4
(
c
−
C
)
b^2 - B^2 = 4(c - C)
b
2
−
B
2
=
4
(
c
−
C
)
(d)
4
(
b
2
−
B
2
)
=
c
−
C
4(b^2 - B^2) = c - C
4
(
b
2
−
B
2
)
=
c
−
C
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