Question

if one zero of the polynomial p(x)=(a^2+9)x^2+45x+6a is reciprocal of the other, find the value of a.​

Answer 1

Step-by-step explanation:

let it's two zeros be p and q

p×q = 6a/(a² + 9 )

p = 1/q. Given

a² + 9 = 6a

a² - 6a + 9 = 0

a² -3a - 3a + 9 = 0

a ( a - 3 ) - 3 ( a -3 ) = 0

a = 3

Answer 2

hope it is helpful to you