Question

X ao quadrado + 5x + 6 = 30

Answer 1

Olá,

→ S = (3 ; -8)

[Método](Função de 2° grau):

${x}^{2} + 5x + 6 = 30 \\ {x}^{2} + 5x + 6 - 30 = 0 \\x = \frac{- b \pm \sqrt{ {b}^{2} - 4ac }}{2a} \\ x = \frac{ - 5 \pm \sqrt{ {5}^{2} \times 4 \times 1( - 24) } }{2 \times 1} \\ x = \frac{ - 5 \pm \sqrt{25 \times 4 \times 1( - 24)} }{2} \\x = \frac{ - 5 \pm \sqrt{25 + 96}}{2} \\ x = -\frac{ - 5 \pm \sqrt{121} }{2} \\ x = \frac{ - 5 \pm11}{2}$

$x1 = \frac{- 5 + 11}{2} \\ x1 = \frac{ 6}{2} \\ x1 = 3$

$x2 = \frac{ - 5 - 11}{2} \\ x2 = \frac{ - 16}{2} \\ x2 = - 8$

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