find k if
x² - 6x + 5 20 and x²-12x+k=0 have
a common root.
Answers
Answered by
1
Step-by-step explanation:
As
x
2
−
6
x
+
5
=
0
can be writen as
(
x
−
1
)
(
x
−
5
)
=
0
its roots are
1
and
5
.
Let the roots of
x
2
−
12
x
+
p
=
0
be
α
and
β
of which
α
is common root.
then as
α
+
β
=
12
and
α
β
=
p
,
if
α
=
5
, then
β
=
7
and
p
=
5
×
7
=
35
and if
α
=
1
, then
β
=
11
and
p
=
11
.
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