Question Detail
Question
Find the quadratic equation whose sum and product of roots are respectively \(\frac{2}{3}\) and 0.
Correct Answer
Option B is the correct answer.
Detailed Explanation
A quadratic with sum (S) and product (P) is (x^2 - Sx + P = 0). Here (S = \frac{2}{3}), (P = 0). So (x^2 - \frac{2}{3}x = 0) (\Rightarrow 3x^2 - 2x = 0).
Hint
The quadratic is \(x^2 - (\text{sum})x + (\text{product}) = 0\).