Question

07 - Utilizando o processo de Bhaskara, determine as raízes da equação do 2° grau no conjunto dos números reais: x² + 4x - 5 = 0 *
A)2, 4
B)4, 2
C)1, 3
D)- 2, 4
E)-5, 1​

Answer 1

$x^2 + 4x - 5 = 0\\\\a = 1\\b = 4\\c = -5\\\\x = \frac{-4 \pm \sqrt{4^2 - 4.1.(-5)}}{2.1}\\x = \frac{-4 \pm \sqrt{16 + 20}}{2}\\x = \frac{-4 \pm \sqrt{36}}{2}\\x = \frac{-4 \pm 6}{2}\\\\x_1 = \frac{-4 + 6}{2} = \frac{2}{2} = 1\\x_2 = \frac{-4 - 6}{2} = \frac{-10}{2} = -5$

Resposta: E)-5, 1​