Mathematics

Find the quadratic equation whose roots are 3 and (frac{2}{3}).

Find the quadratic equation whose roots are 3 and (frac{2}{3}).

  • A.
    x2 – 11 / 3x + 6 = 0
  • B.
    x2 – 11x + 6 = O
  • C.
    3x2 – 11x + 2 = O
  • D.
    3X2 – 11x – 2 = 0
  • E.
    3x2 – 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)