For what positive value of m roots of the equation a²-ma+1=0 are equal​

We know that while finding the root of a quadratic equation ax

2

+bx+c=0 by quadratic formula x=

2a

−b±

b

2

−4ac

,

if b

2

−4ac>0, then the roots are real and distinct

if b

2

−4ac=0, then the roots are real and equal and

if b

2

−4ac<0, then the roots are imaginary.

Here, the given quadratic equation x

2

−mx+9=0 is in the form ax

2

+bx+c=0 where a=1,b=−m and c=9.

(i) If the roots are equal then b

2

−4ac=0, therefore,

b

2

−4ac=0

⇒(−m)

2

−(4×1×9)=0

⇒m

2

−36=0

⇒m

2

=36

⇒m=±

36

HOPE THIS IS HELPFULL

⇒m=±6