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Byju's Answer
Standard XII
Mathematics
Determinant
Find the root...
Question
Find the roots of equation
∣
∣ ∣
∣
1
4
20
1
−
2
5
1
2
x
5
x
2
∣
∣ ∣
∣
=
0
.
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Solution
∣
∣ ∣
∣
1
4
20
1
−
2
5
1
2
x
5
x
2
∣
∣ ∣
∣
=
0
⇒
1
(
−
10
x
2
−
10
x
)
−
4
(
5
x
2
−
5
)
+
20
(
2
x
+
2
)
=
0
⇒
−
10
x
2
−
10
x
−
20
x
2
+
20
+
40
x
+
40
=
0
⇒
−
30
x
2
+
30
x
+
60
=
0
⇒
−
30
(
x
2
−
x
−
2
)
=
0
⇒
x
2
−
x
−
2
=
0
⇒
x
=
1
±
√
1
+
8
2
=
1
+
3
2
∴
x
=
2
and
x
=
−
1
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