Determine the number of real solutions of - 2x2 + 5x - 3 = 0.

a) 0

b) 1 (double root)

c) 2

-2x^2 + 5x - 3 = 0

Find the discriminate:

In the given formula a = - 2, b = 5 and c = - 3

The discriminate is found using the formula b^2 - 4 (ac)

Replace the letters with their values:

5^2 - 4 (-2*-3)

25 - 4*6

25-24 = 1

When the discriminate is greater than or equal to 0, there are two real solutions.

The answer is c) 2