Question

Qual o resultado desta equação?

x2 + 2x + 1 = 0

Answer 1

x² + 2x + 1 = 0

$x = \dfrac{-b \pm \sqrt{b^2 -4*a*c}}{2*a}$


Δ = b²−4ac
Δ =(2)²−4⋅(1)⋅(1)
Δ = 4 − 4
Δ = 0


$x = \dfrac{-b \pm \sqrt{\Delta}}{2*a}\\ \\ \\ x = \dfrac{-2 \pm \sqrt{0}}{2*1}\\ \\ \\ x = \dfrac{-2 \pm 0}{2}\\ \\ \\ x = \dfrac{-2 - 0}{2}\\ \\ \\ x' = \dfrac{-2}{2}\\ \\ \\ x' = -1\\ \\ \\ x'' = \dfrac{-2 + 0 }{2}\\ \\ \\ x'' = \dfrac{-2 }{2}\\ \\ \\ x'' = -1$


S = {-1}

Answer 2

Olá!!

Resolução!!!

x² + 2x + 1 = 0

a = 1, b = 2, c = 1

∆ = b² - 4ac
∆ = 2² - 4 • 1 • 1
∆ = 4 - 4
∆ = 0

x = - b/2a
x = - 2/2 • 1
x = - 2/2
x' = - 1

x' = x" = - 1

S = { - 1 }

Espero ter ajudado,,