Question

if the zeroes of p(x)=ax^2+bx+c are negative reciprocal of each other.Find the relationship between a and c​

Answer 1

Answer: a=-c

Step-by-step explanation:

product of the roots = c/a

roots are reciprocal of each other which implies

if one root is x, the other root is -1/x

product = -1 =c/a