2025 · Q82
"If two quadratic equations px² + px + 4 = 0 and x² + qx + q = 0 have a common root 2, then what is p + q equal to?"
Elementary MathematicsAlgebra
- A-3
- B-2
- C0
- D3
Explanation
x = 2 in px² + px + 4 = 0 gives 6p = −4, p = −2/3; in x² + qx + q = 0 gives 4 + 3q = 0, q = −4/3. Thus p + q = −2, option (b).