Find the volume of m , if one zero of the polynomial . ( m²+4) x²+ 65+m is reciprocal of the other .
Answers
Answered by
8
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
Answered by
13
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 :)
Similar questions
Social Sciences,
2 hours ago
Chemistry,
5 hours ago
Geography,
5 hours ago
Math,
7 months ago
Math,
7 months ago