Question

find k if
x² - 6x + 5 20 and x²-12x+k=0 have
a common root.​

Answer 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

.