Question

if the roots of the equation ax^2+bx+c=0 be reciprocal of each other, then the value of c is________​

Answer 1

Roots of the equation ax  

2

+bx+c=0 are reciprocal to each other,

i.e α,  

α

1

​  

 are the roots.

Product of roots α  

α

1

​  

=  

a

c

​  

 

⇒a=c