2014 · Q93
If one of the roots of the equation px² + qx + r = 0 is three times the other, then which one of the following relations is correct?
Elementary MathematicsAlgebra
- A3q² = 16pr
- Bq² = 24pr
- Cp = q + r
- Dp + q + r = 1
Explanation
Roots α, 3α: 4α = −q/p and 3α² = r/p; eliminating α gives 3q² = 16pr.