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Problems
Let
S
=
{
x
:
x
∈
R
∣
(
3
+
2
)
x
2
−
4
+
(
3
−
2
)
x
2
−
4
=
10
}
S = \{x: x \in \mathbb{R} \mid (\sqrt{3} + \sqrt{2})^{x^2-4} + (\sqrt{3} - \sqrt{2})^{x^2-4} = 10\}
S
=
{
x
:
x
∈
R
∣
(
3
+
2
)
x
2
−
4
+
(
3
−
2
)
x
2
−
4
=
10
}
…
Mathematics
Problem
Let
S
=
{
x
:
x
∈
R
∣
(
3
+
2
)
x
2
−
4
+
(
3
−
2
)
x
2
−
4
=
10
}
S = \{x: x \in \mathbb{R} \mid (\sqrt{3} + \sqrt{2})^{x^2-4} + (\sqrt{3} - \sqrt{2})^{x^2-4} = 10\}
S
=
{
x
:
x
∈
R
∣
(
3
+
2
)
x
2
−
4
+
(
3
−
2
)
x
2
−
4
=
10
}
. Then
n
(
S
)
n(S)
n
(
S
)
is equal to (a) 4 (b) 0 (c) 6 (d) 2
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