Question

X²+5x+6 =0
Resposta? ​

Answer 1

Explicação passo-a-passo:

$\sf x^2+5x+6=0$

$\sf \Delta=5^2-4\cdot1\cdot6$

$\sf \Delta=25-24$

$\sf \Delta=1$

$\sf x=\dfrac{-5\pm\sqrt{1}}{2\cdot1}=\dfrac{-5\pm1}{2}$

$\sf x'=\dfrac{-5+1}{2}~\Rightarrow~x'=\dfrac{-4}{2}~\Rightarrow~\red{x'=-2}$

$\sf x"=\dfrac{-5-1}{2}~\Rightarrow~x"=\dfrac{-6}{2}~\Rightarrow~\red{x"=-3}$

O conjunto solução é S = {-3, -2}