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Byju's Answer
Standard X
Mathematics
Nature of Roots
Find the valu...
Question
Find the value of p for which the roots of the equation px (x − 2) + 6 = 0 are equal.
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Solution
px (x − 2) + 6 = 0
⇒px
2
− 2px + 6 = 0
Since, we know that for the equal roots in a quadratic equation, we have
D
=
0
⇒
b
2
-
4
a
c
=
0
⇒
-
2
p
2
-
4
p
×
6
=
0
⇒
4
p
2
-
24
p
=
0
⇒
4
p
p
-
6
=
0
⇒
p
-
6
=
0
∵
p
≠
0
⇒
p
=
6
Hence, the value of p is 6.
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