If one zero of polynomial (a2+9)x2+13x+6a is reciprocal to the other, find the value of a - Maths - Polynomials

Question

If one
zero of polynomial (a2+9)x2+13x+6a is
reciprocal to the other, find the value of
‘a’

Lalit Mehra · Accepted Answer

Hi!
Here is the answer to your question
The given quadratic polynomial is (a2 + 9)
x2 + 13x + 6a
Let one zero of the quadratic polynomial be α
<img width="412" height="156" src=
"https://s3mn%20mnimgs%20com/img/shared/userimages/mn_images/image/a1(317)%20png"
alt="">

⇒ 6a = a2 + 9
⇒ a2 – 6a + 9 = 0
⇒ (a – 3)2 = 0
⇒ a – 3 = 0
⇒ a = 3

Thus, the value of a is 3
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If one zero of polynomial (a2+9)x2+13x+6a is reciprocal to the other, find the value of ‘a’.

If one zero of polynomial (a²+9)x²+13x+6a is reciprocal to the other, find the value of ‘a’.