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Byju's Answer
Standard XII
Mathematics
Property 1
If |[ x x; ...
Question
If
∣
∣
∣
x
x
1
x
∣
∣
∣
=
∣
∣
∣
3
4
1
2
∣
∣
∣
, then write the positive value of
x
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Solution
We have
∣
∣
∣
x
x
1
x
∣
∣
∣
=
∣
∣
∣
3
4
1
2
∣
∣
∣
⇒
x
2
−
x
=
6
−
4
⇒
x
2
−
x
−
2
=
0
⇒
x
2
−
2
x
+
x
−
2
=
0
⇒
x
(
x
−
2
)
+
1
(
x
−
2
)
=
0
⇒
(
x
−
2
)
(
x
+
1
)
=
0
⇒
x
=
2
or
x
=
−
1
(
Not accepted
)
⇒
x
=
2
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