Answer:
-1/2, 3/2
Step-by-step explanation:
x² - x - 3/4 = 0
4x²/4 - 4x/4 - 3/4 = 0
4x² - 4x - 3 = 0
a = 4, b = - 4, c = - 3
∆ = b² - 4ac
∆ = ( - 4 )² - 4 • 4 • ( - 3 )
∆ = 16 + 48
∆ = 64
x = - b ± √∆ / 2a
x = - ( - 4 ) ±√64 / 2 • 4
x = 4 ± 8 / 8
x' = 4 + 8 / 8 = 12/8 : 4 = 3/2
x" = 4 - 8 / 8 = - 4/8 : 4 = - 1/2
S = { - 1/2, 3/2}
