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
waec 1991mathematics

The correct answer is A. 12x2 + 11x + 2 = 0

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

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

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

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

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

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

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