Question

are
If the roots of the equation
x? -8x+(a’ - 6a) = 0
real and distinct, possible value of a are a then a + B is

Answer 1

Answer:

the quadratic equation does no have two distinct real roots, so b

2

=4ac

b

2

=4a×6=24a

b

2

=24a

3a=

8

b

2

3a+b=

8

b

2

+b=

8

b

2

+8b

=

8b

(b+4)

2

−16

Least value of (b+4)

2

=0

Hence least value of

8b

(b+4)

2

−16

=

8

0−16

=−2