Question

Como resolver essa conta aqui: (x-2)² = x-2

Answer 1

(x-2)² = x-2

x² - 2.x.2 + 2² = x - 2

x² - 4x + 4 -x + 2 =0

x² - 5x + 6 = 0

delta = b² - 4.a.c

delta = -5² - 4.1.6

delta = 25 - 24 = 1

raiz de delta = 1

x' = - b + raiz de delta/2a

x' = 5 + 1 /2

x' = 6/2 = 3

x"= -b - raiz de delta/2a

x" = 5 - 1/2

x" = 4/2 = 2

resposta S= { 3, 2}