Question

(x-1)(x-2)=6 Resolva na forma geral e resolva

Answer 1

x²-2x-x+2=6

x²-3x+2=6

x²-3x-4=0

delta=9-4.1.(-4)

delta=25

x¹=3+5/2

x¹=4

x²=3-5/2

x²=-1

Answer 2

Boa noite

(x - 1)*(x - 2) = 6

x² - 2x - x + 2 = 6

x² - 3x - 4 = 0

x² - 3x = 4

x² - 3x + 9/4 = 4 + 9/4

(x - 3/2)² = 25/4

(x1 - 3/2) = 5/2

x1 = 5/2 + 3/2 = 4

(x2 - 3/2) = -5/2

x2 = 3/2 - 5/2 = -1

S = (-1, 4)