Question

organize a equação do 2° grau: x(x+3)-5=0

Answer 1

x ( x + 3 ) - 5 = 0

x² + 3x - 5 = 0

a = 1, b = 3, c = -5

$\Delta=b^2-4.a.c\\ \Delta=3^2-4.1.(-5)\\\Delta=9+20\\ \Delta=20$

$x= \dfrac{-b \pm \sqrt{\Delta} }{2.a}\\\\\\\ x= \dfrac{-3 \pm \sqrt{29} }{2}$

$x'= \dfrac{-3 + \sqrt{29} }{2}\\\\\\\\x'' = \dfrac{-3 - \sqrt{29} }{2}$


Forte abraço!