2018 · Q6
If the roots of the equation px² + x + r = 0 are reciprocal to each other, then which one of the following is correct?
Elementary MathematicsAlgebra
- Ap = 2r
- Bp = r
- C2p = r
- Dp = 4r
Explanation
If the roots are reciprocals, say α and 1/α, their product is 1. For px² + x + r = 0 the product of the roots is r/p. Setting r/p = 1 gives p = r, option (B).