Question

Resolva a equação na fórmula de Bhaskara (com a conta)
X²+2X- 10=0

Answer 1

x² - 2x - 10 = 0


Δ = b²−4ac
Δ = (2)²−4⋅1⋅−10
Δ = 4 + 40
Δ = 44

$x = \dfrac{-b \pm \sqrt{\Delta}}{2*a}\\ \\ \\x = \dfrac{-2 \pm \sqrt{44}}{2*1}\\ \\ \\x = \dfrac{-2 \pm 2\sqrt{11}}{2}\\ \\ \\x' = \dfrac{-2 + 2\sqrt{11}}{2}\\ \\ \\ x' -1 + \sqrt{11}\\ \\ \\x'' = \dfrac{-2 + 2\sqrt{11}}{2}\\ \\ \\x'' -1 - \sqrt{11}$


$S = \{~ -1 + \sqrt{11}, ~ -1 - \sqrt{11}\}~\}$