\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 =
FURTHER MATHEMATICS
WAEC 2017
\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\alpha + \beta\).
- A. -2
- B. -\(\frac{3}{2}\)
- C. \(\frac{3}{2}\)
- D. 2
Correct Answer: C. \(\frac{3}{2}\)
Explanation
\(\alpha + \beta = \frac{-b}{a}\)
From the equation, a = 2, b = -3 and c = 4
\(\alpha + \beta = \frac{-(-3)}{2} = \frac{3}{2}\)
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