Question

if one of the zero of polynomial (a2+9)x2+13x+6a is reciprocal of the other.find the value of a​

Answer 1

let one zero is u and other is v.

We given that u=1/v.so vu= 1

multiplication of zeros is equal to c/a

now uv=6a/a2+9 (vu= 1)

1=6a/a2+9

a2+9=6a

a2+9-6a=0

now factories this after factories the value of

a=-3