Question

Resolva essa equação de segundo grau x elevado a 2+5x+6=0

Answer 1

Resposta:

2 + 5x + 6 = 0

8 + 5x = 0

5x + 8 - 8 = 0 - 8

5x = -8

5x/5 = -8/5

x = -8/5

Explicação passo-a-passo:

Espero ter ajudado!

Answer 2

Resposta:

Olá,

$\boxed{x^2 + 5x + 6 = 0}\\\boxed{a = 1}\\\boxed{b = 5}\\\boxed{c = 6}$

$\Delta = b^2 - 4ac\\\Delta = 5^2 - 4 \times 1 \times 6 = 0\\\Delta = 25 - 4 \times 1 \times 6 = 0\\\Delta = 25 - 4 \times 6 = 0\\\Delta = 25 - 24\\\Delta = 1$

$x = \dfrac{-b \pm \sqrt{\Delta}}{2a}\\\\\\x = \dfrac{-5 \pm \sqrt{1}}{2 \times1}\\\\\\x = \dfrac{-5 \pm 1}{2}$

$x' = \dfrac{-5 + 1}{2} \\\\\\x' = \dfrac{-4}{2}\\\\\\x' = -2$

$x" = \dfrac{-5 - 1}{2}\\\\\\x" = \dfrac{-6}{2}\\\\\\x" = -3$

$\boxed{\boxed{S = (-2 ; -3)}}$