Question

If one root of the equation is 4x^2-2x-k-4=0 is reciprocal of other find the value of k. ​

Answer 1

$answer$

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

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Answer 2

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

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