Question

3x² + 4x + 1 = 0 preciso rápido com delta a equação completa

Answer 1

$3x^2+4x+1=0,~onde: \\ \\ a=3,~b=4,~c=1 \\ \\ \Delta~=b^2-4.a.c \\ \Delta~=4^2-4.3.1 \\ \Delta~=16-12 \\ \Delta~=4$

$x= \frac{-b\pm \sqrt{\Delta~}}{2.a} \\ x= \frac{-4\pm \sqrt{4}}{2.3} \\ x= \frac{-4\pm2}{6}$

$x'= \frac{-4+2}{6}= \frac{-2}{6}:2= \frac{-1}{3} \\ \\ x''= \frac{-4-2}{6}= \frac{-6}{6}=-1$