Question

Af one zero of the polynomial (a+5) x2 +13x+6a
is reciparal of the other, find the value of a​

Answer 1

Answer:

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.

Step-by-step explanation:please follow and mark as brainliest

Answer 2

Step-by-step explanation:

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