2022 · Q36
If the sum of the roots of the equation x² - k²x + 30kx - 161x - 64 = 0 is zero, then what is the difference of the roots?
Elementary MathematicsAlgebra
- A15
- B16
- C17
- D18
Explanation
Sum of roots = k²-30k+161 = 0 and product = -64. Difference = √(sum²-4xproduct) = √256 = 16, independent of k. Hence the keyed option is B.