Question

(×+1)²=7+×
Resolva essa equação

Answer 1

(x+1)² = 7+x
x²+2x+1 = 7+x
x²+2x+1-7-x
x²+x-6

Answer 2

x² + 2.1.x + 1² = 7 + x
x² + 2x + 1 -7 - x = 0
x² + x - 6 = 0
Δ = 1² - 4.1.(-6)
Δ = 1 + 24
Δ = 25 ⇒√25 = 5

x' =( -1+ 5 )/2 ⇒ x' = 4/2 ⇒ x' = 2
x" = ( -1-5 )/2 ⇒ x" = -6/2 ⇒ x" = -3

S = { 2;-3 }