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Problems
If
∣
x
n
x
n
+
2
x
2
n
1
x
a
a
x
n
+
5
x
a
+
6
x
2
n
+
5
∣
=
0
∀
x
∈
R
\begin{vmatrix} x^n & x^{n+2} & x^{2n} \\ 1 & x^a & a \\ x^{n+5} & x^{a+6} & x^{2n+5} \end{vmatrix} = 0 \ \forall x \in \mathbb{R}
x
n
1
x
n
+
5
x
n
+
2
x
a
x
a
+
6
x
2
n
a
x
2
n
+
5
=
0
∀
x
∈
R
…
Mathematics
Problem
If
∣
x
n
x
n
+
2
x
2
n
1
x
a
a
x
n
+
5
x
a
+
6
x
2
n
+
5
∣
=
0
∀
x
∈
R
\begin{vmatrix} x^n & x^{n+2} & x^{2n} \\ 1 & x^a & a \\ x^{n+5} & x^{a+6} & x^{2n+5} \end{vmatrix} = 0 \ \forall x \in \mathbb{R}
x
n
1
x
n
+
5
x
n
+
2
x
a
x
a
+
6
x
2
n
a
x
2
n
+
5
=
0
∀
x
∈
R
, where
n
∈
N
n \in \mathbb{N}
n
∈
N
, the value of
a
a
a
is a.
n
n
n
b.
n
−
1
n-1
n
−
1
c.
n
+
1
n+1
n
+
1
d. None of these
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