2010 · Q93
If α and β are the roots of the equation x² + px + q = 0, then -α⁻¹, -β⁻¹ are the roots of which one of the following equations ?
Elementary MathematicsAlgebra
- Aqx² - px + 1 = 0
- Bqx² + px + 1 = 0
- Cx² + px - q = 0
- Dx² - px + q = 0
Explanation
y=-1/x substitution gives qy²-py+1=0.