Question

if zeros of the polynomial x^2+4x+2a are a and2/a then the value of a is​

Answer 1

Answer:

Comparing x

2

+4x+2a with ax

2

+bx+c,

a=1,b=4,c=2a

According to the question,

α,

2

α

are the zeroes of the polynomial,

sum of the zeroes

a

b

α+

2

α

=

1

−4

α=

3

−8

α

2

=

9

64

[squaring both sides]

product of all zeroes,

α×

2

α

=

1

2a

α

2

=4a

∴4a=

9

64

[∵α

2

=

9

64

]

a=

9

16

Answer 2

Step-by-step explanation:

if zeroes of the polynomial