Question

Resolva a equação x+3 5
1 x-1 = 0

Answer 1

$\left|\begin{array}{ccc}x+3&5\\1&x-1\\\end{array}\right|=0\\\\\\ (x+3)\cdot(x-1)-1\cdot5=0\\ x^2-x+3x-3-5=0\\ x^2+2x-8=0\\\\ \Delta=2^2-4\cdot1\cdot(-8)\\ \Delta=4+32\\ \Delta=36\\\\ x= \dfrac{-2\pm \sqrt{36} }{2\cdot1}= \dfrac{-2\pm6}{2}\begin{cases} x_1= \dfrac{-2+6}{2}=2\\\\ x_2= \dfrac{-2-6}{2}=-4 \end{cases}\\\\\\ \Large\boxed{\text{S}=\{2,-4\}}$