Question

If one root of equation 4x² -2x+k-4=0 is reciprocal of other. The value of k is: *

Answer 1

Answer:

k = 4

Step-by-step explanation:

suppose two roots are x and y

now one root is reciprocal of other which means

y= 1/x

so two roots are x and 1/x

now

a = 4 , b= -2x , c = k-4

product of roots = c/a

so, x . 1/× = k - 4/4

1 = k- 4 /4

4 = k-4

4 + 4 = k

8 = k