Question

3) Resolva a equação completa do 2º grau.

a) x2 + 8x + 12 = 0​

Answer 1

Resposta:

$x^{2} +8x+12=0\\ \\ coeficientes:~~a=1,~~b=8,~~c=12\\ \\ x=\frac{-b+-\sqrt{b^{2} -4.a.c} }{2.a} \\ \\ x=\frac{-8+-\sqrt{8^{2}-4.1.12 } }{2.1} \\ \\ x=\frac{-8+-\sqrt{64-48} }{2} \\ \\ x=\frac{-8+-\sqrt{16} }{2} \\ \\ x=\frac{-8+-4}{2} \\ \\ x'=\frac{-8-4}{2} =-\frac{12}{2} =-6\\ \\ x''=\frac{-8+4}{2} =-\frac{4}{2} =-2\\ \\ \\ Solucao~~~~S~~\left \{ {{-6;~~-2} {}} \}$