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Byju's Answer
Standard X
Mathematics
Nature of Roots
The number of...
Question
The number of distinct real roots of
x
4
−
4
x
+
1
=
0
is:
A
4
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B
2
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C
0
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D
1
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Solution
The correct option is
B
2
f
(
x
)
=
x
4
−
4
x
+
1
=
0
f
′
(
x
)
=
4
x
3
−
4
=
4
(
x
−
1
)
(
x
2
+
1
+
x
)
⇒
Two solutions
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