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Mathematics
Problem
The quadratic polynomial
x
2
+
p
x
+
q
x^{2}+px+q
x
2
+
p
x
+
q
has two distinct real zeros such that one zero is thrice the other and their sum is
8
8
8
. Which ordered pair
(
p
,
q
)
(p,q)
(
p
,
q
)
satisfies these conditions? a)
(
8
,
12
)
(8,\,12)
(
8
,
12
)
b)
(
−
8
,
−
12
)
(-8,\,-12)
(
−
8
,
−
12
)
c)
(
−
8
,
12
)
(-8,\,12)
(
−
8
,
12
)
d)
(
−
8
,
8
)
(-8,\,8)
(
−
8
,
8
)
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