Question

If one zero of the polynomial (a2 + 4) x2 + 13x + 4a is reciprocal of the other, then the value of a is:
​

Answer 1

Answer:

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

Solve any question of Polynomials with:-

Answer 2

Answer:

hope this help u buddy gvhhvvbh