Using the discriminat, determine the number and type of solutions for this equation : 2x^2 - 3x+1=0

2x² - 3x + 1 = 0

x = - (-3) ± √ ((-3) ² - 4 (2) (1))

2 (2)

x = 3 ± √ (9 - 8)

4

x = 3 ± √ (1)

4

x = 3 ± 1

4

x = 3 + 1 U x = 3 - 1

4 4

x = 4 U x = 2

4 4

x = 1 U x = ¹/₂

The solution is {1, ¹/₂}.