Find the sum of the roots of the equation 2x 2 + 3x - 9
MATHEMATICS
WAEC 2004
Find the sum of the roots of the equation 2x2 + 3x - 9 = 0
- A. -18
- B. -6
- C. \(-\frac{9}{2}\)
- D. \(-\frac{3}{2}\)
Correct Answer: D. \(-\frac{3}{2}\)
Explanation
The general quadratic equation
x2 - (sum of roots) x + (product of root) = 0
Comparing with the given equation
2x2 +3x2 - 9 = 0; \(x^2 + \frac{3}{2}x - \frac{9}{2} = 0\\
Sum \hspace{1mm} of \hspace{1mm}roots = -\frac{3}{2}\)
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