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

Mathematics
WAEC 1994

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
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Correct Answer: Option E
Explanation

x = 3; x = \(\frac{2}{3}\).

(x - 3)(x - \(\frac{2}{3}\)) = 0

\(x^2 - \frac{2x}{3} - 3x + 2 = 0\)

\(x^2 - \frac{11x}{3} + 2 = 0\)

\(3x^2 - 11x + 6 = 0\)


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