Question

Resolva as seguintes equações do 2 ° grau identifique os coeficientes e determine as raízes se existir x2-8×+12=0

Answer 1

$x^2-8x+12=0\\\\ a=1;b=-8;c=12\\\\\\ \Delta=b^2-4ac\to \Delta=(-8)^2-4*1*12\to \Delta=64-48\to \Delta=16\\\\\\ x' \neq x''\\\\\\x= \frac{-b \pm \sqrt{\Delta} }{2a} \to x= \frac{-(-8) \pm \sqrt{16} }{2*1} \to x= \frac{8 \pm 4 }{2} \to \\\\\\ x'= \frac{8 +4 }{2} \to x'= \frac{12}{2} \to x'=6\\\\\\ x''= \frac{8 - 4 }{2} \to x''= \frac{ 4 }{2} \to x''=2\\\\\\\\ S=(2;6)$