\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\alpha + \beta\).

Assessment: WAEC SSCE - Further Mathematics - 2017 (Objective) Subject: Further Mathematics

Question 1 Report

\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\alpha + \beta\).

Answer Details
The sum of the roots of a quadratic equation of the form \(ax^{2} + bx + c = 0\) is given by \(-\frac{b}{a}\). In this case, the given quadratic equation is \(2x^{2} - 3x + 4 = 0\). Therefore, the sum of the roots, \(\alpha\) and \(\beta\), is given by \(-\frac{-3}{2} = \frac{3}{2}\). Hence, the answer is \(\frac{3}{2}\), which represents the sum of the roots of the given quadratic equation.
Read lesson note on Polynomial Functions (WAEC)
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