Question

zeroes of polynomial p(x)= ax2 + bx + c are reciprocal to each other.

Answer 1

Heya User ..

Zeroes are reciprocal => The zeroes are A , 1/A 

=> Product of zeros = c / a
=> 1 = c / a 
=> c = a √√ 

Answer 2

Answer:

a = c

Step-by-step explanation

$\alpha$ and $\beta$ are the two zeros of the polynomial

$\alpha$ + $\beta$ = -b/a

$\alpha$ $\beta$ = c/a

$\alpha$ + 1/$\alpha$ = -b/a

$\beta$ × 1/$\beta$ = c/a

-b/a = c/a

a = c

Thank you