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Byju's Answer
Standard X
Mathematics
Roots of Quadratic Equation
If the equati...
Question
If the equation
x
2
−
15
−
m
(
2
x
−
8
)
=
0
has equal roots, find the value of
m
.
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Solution
Given quadratic equation can be written as,
x
2
−
(
2
m
)
x
+
(
8
m
−
15
)
=
0
Now for equal roots, Discriminant
=
0
⇒
b
2
−
4
a
c
=
0
⇒
(
−
2
m
)
2
−
4
(
8
m
−
15
)
=
0
⇒
m
2
−
8
m
+
15
=
0
⇒
(
m
−
3
)
(
m
−
5
)
=
0
, factor
⇒
m
=
3
,
5
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Similar questions
Q.
If the roots of the equation
x
2
−
15
−
m
(
2
x
−
8
)
=
0
are equal, then
m
=
Q.
Find the values of
m
for which the quadrilateral equation
x
2
−
m
(
2
x
−
8
)
−
15
=
0
has
(i) equal roots
(ii) both roots positive.
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Roots of Quadratic Equation
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