Question

If one zero of p(x) = ax? + bx+c be double of other then what is the relationship between a, b
and c.​

Answer 1

Answer:

2b^2= 9ac

Step-by-step explanation:

let the roots be p and 2p

p+2p= -b/a

p×2p= c/a

3p= -b/a ------------ (1)

2p^2= c/a ------------ (2)

from (1)

p= -b/3a

substitute b value in (2)

2×(-b/3a)^2= 2b^2/9a^2= c/a

2b^2= 9ac