Solve the equation for x, where x is a real number (5 points): -2x^2 + 5x - 13 = -16

Add 16 to both sides to the equation becomes -2x^2 + 5x + 3 = 0
To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
                       x = [ -b ± √(b^2 - 4ac) ] / (2a)
                       x = [ -5 ± √(5^2 - 4(-2)(3)) ] / ( 2(-2) )
                       x = [ -5 ± √(25 - (-24) ) ] / ( -4 )
                       x = [ -5 ± √(49) ] / ( -4)
                       x = [ -5 ± 7 ] / ( -4 )
                       x = 5/4 ± -7/4
The answers are 5/4 + 7/4 = 3 and 5/4 - 7/4 = -1/2.