Question

resolva as equaçoes na forma geral e resolva
x(x-2) = 2 (x+6)

Answer 1

x(x-2)=2(x+6)
x² - 2x = 2x + 12
x² - 2x - 2x - 12 = 0
x² - 4x - 12 = 0

a = 1
b = - 4
c = -12

Δ = b² - 4.a.c
Δ = (-4)² - 4.1.(-12)
Δ = 16 + 48
Δ = 64

x = (-b ± √Δ) / 2a
x = (-(-4) ± √64) / 2.1
x = (4 ± 8) / 2
x' = (4 - 8 ) / 2
x' = -4/2
x' = -2

x" = (4 + 8) / 2
x" = 12/2
x" = 6

Resultado ( -2, 6)