Question

If one zero of the polynomial (a²+9)²+13x+6a is reciprocal of other.Find the value of a.(no spam)​

Answer 1

Answer:

a = 3

Step-by-step explanation:

If one of the zero is reciprocal of the other,  

let one zero be α

other zero will be 1/α

Product of roots = c/a

⇒ α × 1/α = 6a/(a²+9)

⇒ 1 = 6a/(a²+9)

⇒ a² + 9 = 6a

⇒ a² - 6a + 9 = 0

⇒ a² - 3a - 3a + 9= 0

⇒ a(a-3) -3(a-3) = 0

⇒ (a-3)(a-3) = 0

⇒ (a-3)²= 0

⇒ a = 3

Value of a is 3.

Answer 2

Refer the pic for your solution

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