Question

Roots of the equation 3x²-14x+k=0 will be reciprocal of each other if :​

Answer 1

if roots are reciprocal to eachother then

product of roots=1

c/a=1

here c=k;a=3

so k/3=1

k=3

Answer 2

Answer:

c= 3 (c=k=3)

Step-by-step explanation:

3x 2– 14x + k = 0

Roots of the equation be reciprocal of each other

properties --> product of roots (-b/a and c-a) will = 1

product of roots = 1

c/a = 1

a=3 (given in question)

c/3 = 1

c=k

k= 3*1

k= 3

thus, k =3