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Byju's Answer
Standard XII
Mathematics
Strictly Increasing Functions
Find the valu...
Question
Find the value (s)
k
for which the equation
x
2
+
5
k
x
+
16
=
0
has real and equal roots.
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Solution
Condition for real and equal roots is
b
2
=
4
a
c
(
5
k
)
2
=
4
(
16
)
25
k
2
=
64
k
2
=
64
25
k
=
±
8
5
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0
Similar questions
Q.
Find the value(s) of
k
for which the equations
x
2
+
5
k
x
+
16
=
0
has real and equal roots.
Q.
If the equation
x
2
+
5
k
x
+
16
=
0
has no real roots, then
(a)
k
>
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(b)
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<
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(c)
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5
<
k
>
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5
(d) none of these
Q.
x
2
+
5
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+
16
=
0
has no real roots, then :
Q.
(i) Find the values of k for which the quadratic equation
3
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+
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x
2
+
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k
+
1
x
+
1
=
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has real and equal roots. [CBSE 2014]
(ii) Find the value of k for which the equation
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+
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=
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has real and equal roots. [CBSE 2017]
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