Question

if one zero of the polynomial (a square +9)x square +13x+6a is reciprocal of the other find a

Answer 1

the value of a is 3 I hope it is helpful

Answer 2

Answer:

3

Step-by-step explanation:

Let one zero = a

Other zero = 1/a (according to question)

Product of zeros = a* 1/a =1

C/A = 1

6/(a^2+9) = 1

6= a^2+9

a^2+9-6 = 0

a^2+3^2-2(a)(3) (by Identity)

a^2-6a+9

a^2-3a-3a+9 (by middle term splitting)

(a-3)(a-3)

a=3

Hope it helps