Find the sum of the roots of the equation 2x2 + 3x - 9 = 0
A
-18
B
-6
C
\(-\frac{9}{2}\)
D
\(-\frac{3}{2}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
The general quadratic equation
x2 - (sum of roots) x + (product of root) = 0
Comparing with the given equation
2x2 +3x2 - 9 = 0; \(x^2 + \frac{3}{2}x - \frac{9}{2} = 0\\
Sum \hspace{1mm} of \hspace{1mm}roots = -\frac{3}{2}\)
Source: Myschool Past Questions Archive (Record #26643)