Question

Resolva as equações: a) 5x 2 – 3x – 2= 0
b) 6x 2 + x – 1= 0

Answer 1

Resposta:

a) 5x² - 3x - 2 = 0

delta = b² - 4ac

delta = (-3)² - 4×5×(-2)

delta = 9 + 40

delta = 49

x = -b +- √delta / 2a

x = -(-3) +- √49 / 2×5

x = 3 +- 7 / 10

x1 = 3 + 7 / 10

x1 = 10 / 10

x1 = 1

x2 = 3 - 7 / 10

x2 = - 4 / 10

x2 = -2 / 5

b) 6x² + x - 1 = 0

delta = b² - 4ac

delta = 1² - 4×6×(-1)

delta = 1 + 24

delta = 25

x = -b +- √delta / 2a

x = -1 +-√25 / 2×6

x = -1 +- 5 / 12

x1 = -1 + 5 / 12

x1 = 4 / 12

x1 = 1/3

x2 = -1-5 / 12

x2 = -6/12

x2 = -1/2

espero ter ajudado!