Question

achar raizes das equacoes 2x2+5x+3=0

Answer 1

2x² + 5x + 3 = 0

Δ = b² - 4.a.c
Δ = (5)² - 4.(2).(3)
Δ = 25 - 24
Δ = 1

x = -b +/- √Δ/2a
x = -5 +/- 1/4
x' = -1
x'' = -3/2

Answer 2

2x² + 5x + 3 = 0

a = 2; b = 5; c = 3

x = [- b ± √(b² - 4ac)] / 2a
x = [- 5 ± √(5² - 4 . 2 . 3)] / 2 . 2
x = [- 5 ± √(25 - 24)] / 4
x = [- 5 ± √1] / 4
x = [- 5 ± 1] / 4
x' = [- 5 - 1] / 4 = -6 / 4 (simplificando ambos por 2) = -3 / 2
x'' = [- 5 + 1] / 4 = -4 / 4 = -1

S = {-1, -³/₂}

Espero ter ajudado. Valeu!