The sum of the roots of the equation (1/2) x^2 - (5/4) x-3=0

a. 5/2

b. 2

c. 1/2

A) 5/2 is the answer.

(1/2) x² - (5/4) x - 3 = 0

0.5x² - 1.25x - 3 = 0

Comparing to the quadratic function, ax² + bx + c = 0,

a = 0.5, b = - 1.2, c = - 3.

Sum of roots = - b/a = - (-1.25) / 0.5 = 1.25/0.5 = 2.5

2.5 = 5/2 Option (a)