Find the quadratic equation whose roots are 3 and 2/3.
MATHEMATICS
WAEC 1994
Find the quadratic equation whose roots are 3 and 2/3.
- A. x2 - 11 / 3x + 6 = 0
- B. x2 - 11x + 6 = O
- C. 3x2 - 11x + 2 = O
- D. 3x2 - 11x + 6 = 0
Correct Answer: D. 3x2 - 11x + 6 = 0
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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