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Byju's Answer
Standard X
Mathematics
Nature of Roots
If the equati...
Question
If the equation
4
x
2
-
3
k
x
+
1
=
0
has equal roots, then k = ?
(a)
±
2
3
(b)
±
1
3
(c)
±
3
4
(d)
±
4
3
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Solution
(d)
±
4
3
It is given that the roots of the equation (4
x
2
−
3
k
x
+
1
=
0
)
are equal
.
∴
(
b
2
−
4
a
c
)
=
0
⇒
(
3
k
)
2
−
4
×
4
×
1
=
0
⇒
9
k
2
=
16
⇒
k
2
=
16
9
⇒
k
=
±
4
3
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