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Byju's Answer
Standard XII
Mathematics
Discriminant
For what valu...
Question
For what value of
k
are the roots of the quadratic equation
k
x
2
+
1
=
−
4
x
equal and real?
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Solution
Given
the quadratic equation
k
x
2
+
1
=
−
4
x
.
or,
k
x
2
+
4
x
+
1
=
0
.
Now if the roots of the given equation be real and equal then we'll have,
4
2
−
4
k
=
0
[ Discriminant equal to
0
]
or,
k
=
4
.
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