Question

– Determine a solução da equação de 2º grau:  - X 2+2X+1 = 0. 

Answer 1

$-x^2 + 2x + 1 = 0$

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

a=-1, b=2, c=1

Δ=b^2−4ac
Δ=(2)2−4*(-1)*(1)
Δ=4+4
Δ=8

$x = \dfrac{-b \pm \sqrt{\triangle}}{2*a} \\ \\ \\ x = \dfrac{-2 \pm \sqrt{8}}{2*-1} \\ \\ \\ x = \dfrac{-2 \pm \sqrt{8}}{2*-1} \\ \\ \\ x = \dfrac{-2 \pm 2\sqrt{2}}{-2} \\ \\ \\ x = \dfrac{-2 + 2\sqrt{2}}{-2} \\ \\ \\ x' = 1 + 2\sqrt{2} \\ \\ \\ x'' = \dfrac{-2 - 2\sqrt{2}}{-2} \\ \\ \\ x'' = 1 - 2\sqrt{2}$



S = {$1 + 2\sqrt{2}, \ 1 - 2\sqrt{2}$}