Mathematics

Find the equation whose roots are -2/3 and -1/4

Find the equation whose roots are -2/3 and -1/4

  • A.
    12x2 + 11x + 2 = 0
  • B.
    12x2 – 11x + 2 = 0
  • C.
    x2 – 11/12x + 2 = 0
  • D.
    12x2 – 11x – 2 = 0
  • E.
    x2 – 11/12x – 2 = 0
Correct Answer: Option A
Explanation

x = (-frac{2}{3}) and (-frac{1}{4})

(implies (x + frac{2}{3}) = 0; (x + frac{1}{4}) = 0)

((x + frac{2}{3})(x + frac{1}{4}) = 0)

(x^{2} + frac{1}{4}x + frac{2}{3}x + frac{1}{6} = 0)

(x^2 + frac{11}{12}x + frac{1}{6} = 0)

(12x^2 + 11x + 2 = 0)