Question

if one zero of the polynomial a square + 9 X square + 6 is reciprocal of the other then a is​

Answer 1

Answer

Step-by-step explanation:

• We know that equation ax

2

+bx+c=0

Then sum of roots =

a

−b

• and product of roots=

a

c

• Let the other zero be α
• Therefore, the other zero is

α

• 1

Now, α×

α

1

=

a

2

−9

6a

=>1=

a

2

−9

6a

=>a

2

+9−6a=0

=>a

2

−6a+9=0

=>a

2

−3a−3a+9=0

=>a(a−3)−3(a−3)=0

=>(a−3)(a−3)=0

=>a=3 and a=3

Answer 2

Answer:

+ 9 X square + 6 is reciprocal of the other then a is 3