\(\alpha\) 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

The correct answer is C. \(\frac{3}{2}\)

\(\alpha + \beta = \frac{-b}{a}\)

From the equation, a = 2, b = -3 and c = 4

\(\alpha + \beta = \frac{-(-3)}{2} = \frac{3}{2}\)

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