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Byju's Answer
Standard XII
Mathematics
Relation between Roots and Coefficients for Quadratic
How many root...
Question
How many roots do. the following equations possess?
3 |x| |2 - |x|| = 1.
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Solution
3
|
x
|
|
2
−
|
x
|
|
=
1
(given)
C
1
(
0
<
x
<
2
)
C
2
(
x
>
2
)
C
3
(
−
2
<
x
<
0
)
3
x
(
2
−
x
)
=
1
−
3
x
(
2
−
x
)
=
1
−
3
x
(
2
+
x
)
=
1
⇒
3
x
2
−
6
x
+
1
=
0
⇒
3
x
2
−
6
x
−
1
=
0
⇒
3
x
2
+
6
x
+
1
=
0
x
=
6
±
√
36
−
12
6
x
=
6
±
4
√
3
6
x
=
−
6
±
2
√
6
6
x
=
6
±
2
√
6
6
x
=
6
+
4
√
3
6
So,
5
roots are there.
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