Find the quadratic equation whose roots are 3 and (frac{2}{3}).
- A.
x^{2} – 11 / 3x + 6 = 0 - B.
x^{2} – 11x + 6 = O - C.
3x^{2} – 11x + 2 = O - D.
3X^{2} – 11x – 2 = 0 - E.
3x^{2} – 11x + 6 = 0
Correct Answer: Option E
Explanation
x = 3; x = (frac{2}{3}).
(x – 3)(x – (frac{2}{3})) = 0
(x^2 – frac{2x}{3} – 3x + 2 = 0)
(x^2 – frac{11x}{3} + 2 = 0)
(3x^2 – 11x + 6 = 0)