Question

Scr gente me ajudem!

Answer 1

(x + 2)² = x² + (x + 1)²

x² + 2(x) (2) + 4 = x² + x² + 2x + 1

x² + 4x + 4 = 2x² + 2x + 1

2x² - x² + 2x - 4x + 1 - 4 = 0

x² - 2x - 3 = 0

Δ = (-2)² - 4 (1) (-3)

Δ = 4 + 12

Δ = 16

x1 = $\frac{- (-2) + \sqrt{16} }{2}$

x1 = $\frac{+2 + 4}{2}$

x1 = $\frac{6}{2}$

x1 = 3

x2 = $\frac{- (-2) - \sqrt{16}}{2}$

x2 = $\frac{+2 - 4}{2}$

x2 = $\frac{-2}{2}$

x2 = - 1

R: X = 3