Question

If one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p​

Answer 1

p = 8

Explanation:

Let one root of the eqn. be alpha . Other root is 1/alpha .

We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant & "a" is the co-efficient of x^2.

Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

`(c)/(a) = 1\\=> (p - 4)/(4) = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8`