Question

If the one root of the equation 4x² – 2x + p – 4 = 0 be the reciprocal of the other. The value of p is:

Options

• 8

• –8

• –4

• 4

Answer 1

8

Explanation:

If one root is reciprocal of the other, then the product of roots is:

`α xx 1/α = ("p" - 4)/4`

4 = p − 4

p = 8