Question

As raízes da equação 2x² – 5x – 3 = 0

Answer 1

2x² - 5x - 3 = 0
a = 2, b = - 5, c = - 3

Δ = b² - 4ac
Δ = (- 5)² - 4 . 2 . (- 3)
Δ = 25 + 24
Δ = 49

x = (- b ± √Δ)/2a
x = (- - 5 ± √49)/(2 . 2)
x = (5 ± 7)/4

x' = (5 + 7)/4 = 12/4 = 3
x'' = (5 - 7)/4 = - 2/4 = - 1/2

x = 3, x = - 1/2