Question

equação do segundo grau completa x²+6x+8=0​

Answer 1

Resposta:

Explicação passo a passo:

∆ = b²-4ac=6³-4.1.8= 36-32= 4

X = -b±√4/2a

X= -6±2/2

X' = -6+2/2 = -4/2 = -2 ✓

X" = -6-2/2 = -8/2 = -4 ✓

Answer 2

$\large\boxed{\begin{array}{l}\rm x^2+6x+8=0\\\begin{cases}\sf a=1\\\sf b=6\\\sf c=8\end{cases}\\\rm\Delta=b^2-4ac\\\rm\Delta=6^2-4\cdot1\cdot8\\\rm\Delta=36-32\\\rm\Delta=4\\\rm x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\\\rm x=\dfrac{-6\pm\sqrt{4}}{2\cdot1}\\\\\rm x=\dfrac{-6\pm2}{2}\begin{cases}\rm x_1=\dfrac{-6+2}{2}=-\dfrac{4}{2}=-2\\\\\rm x_2=\dfrac{-6-2}{2}=-\dfrac{8}{2}=-4\end{cases}\\\\\rm S=\{-4,-2\}\end{array}}$