Question

Resolva: (x-6)^2=2(x+8)

Answer 1

(x - 6)² = 2.(x + 8)
x² - 12x + 36 = 2x + 16
x² - 12x - 2x + 36 - 16 = 0
x² - 14x + 20 = 0
Δ = (-14)² - 4 * 1 * 20
Δ = 196 - 80
Δ = 116
x = - (-14) +- √116 / 2a
x' = 14 + 2√29 /2
x" = 14 - 2√29 / 2

Answer 2

( x-6) . (x-6) = 2x +16

x² -6x-6x+36 = 2x +16

x² -12x +36= 2x+16

x² -12x+36-2x-16=0

x² -14x+ 20=0 

Agora é só fazer baskara