Question

If one zero of the polynomial 7x²+13x-3k is the reciprocal of the other, then find the value of k.​

Answer 1

Answer:

-7/3

Step-by-step explanation:

let one zero be x so other will be 1/x

we know, product of roots=c/a in general form of ax²+bx+c

here product of roots = x . 1 /x = 1 = c/a

comparing with given c=-3k a=7

=>-3k/7=1

=>k=-7/3

Answer 2

Step-by-step explanation:

Let one zero will be a

then another zero be= 1/a

we know product of root will become

(a×1/a)= -3k

1 = -3k

therefore

k= -1/3