Question

Determine as equações do 2 grau:

a) x²-3X+2=0

b) x²+2X-24=0

c) 2x²-x-45=0

Answer 1

Olá Andressa

a)

x² - 3x + 2 = 0

delta
d² = 9 - 8 = 1
d = 1

x1 = (3 + 1)/2 = 4/2 = 2
x2 = (3 - 1)/2 = 2/2 = 1

b)

x² + 2x - 24 = 0

delta
d² = 4 + 96 = 100
d = 10

x1 = (-2 + 10)/2 = 8/2 = 4
x2 = (-2 - 10)/2 = -12/2 = -6 

c)

2x² - x - 45 = 0

delta
d² = 1 + 4*2*45 = 361 
d = 19

x1 = (1 + 19)/4 = 20/4 = 5
x2 = (1 - 19)/4 = -18/4 = -9/2