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Mathematics
Mathematics
Problem
Let
p
,
q
∈
R
p, q \in \mathbb{R}
p
,
q
∈
R
. If
2
−
3
2 - \sqrt{3}
2
−
3
is a root of the quadratic equation,
x
2
+
p
x
+
q
=
0
x^2 + px + q = 0
x
2
+
p
x
+
q
=
0
, then: (1)
q
2
+
4
p
+
14
=
0
q^2 + 4p + 14 = 0
q
2
+
4
p
+
14
=
0
(2)
p
2
−
4
q
−
12
=
0
p^2 - 4q - 12 = 0
p
2
−
4
q
−
12
=
0
(3)
q
2
−
4
p
−
16
=
0
q^2 - 4p - 16 = 0
q
2
−
4
p
−
16
=
0
(4)
p
2
−
4
q
+
12
=
0
p^2 - 4q + 12 = 0
p
2
−
4
q
+
12
=
0
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