Question

if one root of the equation
4x2 - 2x + (k - 4) = 0 be the reciprocal of the other, then what is k? ​

Answer 1

Answer:

Hi Mate !!!

Let the roots be a and b

a = 1/b as given one root is the reciprocal of other

And we also know that

product of zeros is equal to

a × 1 / a = ( k - 4 ) / 4

=>.

k -4 = 4

k = 8

Hope it helps!!!!!

Step-by-step explanation:

Answer 2

Step-by-step explanation:

4×2 - 2x + ( k - 4 ) = 0

8 - 2x = - k + 4

-2x = - k + 4 - 8

-2x = - k - 4

k = - 4 - 2x