Question

Find the volume of m , if one zero of the polynomial . ( m²+4) x²+ 65+m is reciprocal of the other .​

Answer 1

Answer:

Let's assume the roots of the polynomial be α & 1/a

Product of the roots of the polynomial =

4k/k^2 + 4k

⇒α× 1/a = 4k/k^2+4

⇒ 4k/k^2 + 4 =1

⇒4k=k^2 +4

⇒k^2 −4k+4=0

⇒(k−2)^2 =0

⇒k=2

Answer 2

Answer:

Let's assume the roots of the polynomial be α & 1/a

Product of the roots of the polynomial =

4k/k^2 + 4k

⇒α× 1/a = 4k/k^2+4

⇒ 4k/k^2 + 4 =1

⇒4k=k^2 +4

⇒k^22 −4k+4=0

⇒(k−2)^2 =0

⇒k=2

Step-by-step explanation:

Hope it helps :)