Question

Resolva em R:
(x+2) (x-3)=0

Answer 1

Olá, boa noite ☺

Resolução:

(x + 2).(x-3)=0
x² - 3x + 2x - 6 =0
x² - x - 6 = 0

Coeficientes:

a=1
b=-1
c=-6

$\Delta= b^{2} -4.a.c \\ \Delta= (-1)^{2} -4.1.(-6) \\ \Delta=1+24 \\ \Delta=25 \\ \\ \texttt{Valores \ de \ x:} \\ \\ x= \frac{-b\pm \sqrt{\Delta} }{2.a} \\ \\ x= \frac{-(-1)\pm \sqrt{25} }{2} \\ \\ x= \frac{1\pm5}{2} \\ \\ x'= \frac{1+5}{2} = \frac{6}{2} =3 \\ \\ x''= \frac{1-5}{2} = \frac{-4}{2} =-2 \\ \\ \texttt{Bons \ estudos \ :)}$