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Problem
Problem
If the equation
(
1
+
m
)
x
2
−
2
(
1
+
3
m
)
x
+
(
1
+
8
m
)
=
0
(1+m)x^2 - 2(1+3m)x + (1+8m) = 0
(
1
+
m
)
x
2
−
2
(
1
+
3
m
)
x
+
(
1
+
8
m
)
=
0
, where
m
∈
R
∖
{
−
1
}
m \in \mathbb{R} \setminus \{-1\}
m
∈
R
∖
{
−
1
}
, has at least one root is negative, then a.
m
∈
(
−
∞
,
−
1
)
m \in (-\infty, -1)
m
∈
(
−
∞
,
−
1
)
b.
m
∈
(
−
1
8
,
∞
)
m \in \left(-\frac{1}{8}, \infty\right)
m
∈
(
−
8
1
,
∞
)
c.
m
∈
(
−
1
,
−
1
8
)
m \in \left(-1, -\frac{1}{8}\right)
m
∈
(
−
1
,
−
8
1
)
d.
m
∈
R
m \in \mathbb{R}
m
∈
R
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