Question

If one root of the quadratic equation \( ax^2 + bx + c = 0 \) is double the other, then what is the correct relation among the coefficients?

• A. \( b^2 = 8ac \)
• B. \( b^2 = 4ac \)
• C. \( b^2 = \frac{9ac}{2} \)
• D. \( b^2 = 2ac \)

Hint:

\textbf{Tip:} Assume algebraic relationships for the roots and compare with standard form \( ax^2 + bx + c \) using Vieta's formulas.