Question

qual e o resultado dessa raiz quadrada do 2 grau 2x elevado ao quadrado=-12x-18?

Answer 1

             2x² = - 12x - 18
     2x² + 12x + 18 = 0
dividindo todo por 2
           x² + 6x + 9 = 0
quadrado perfeito
           (x + 3)² = 0
                 x + 3 = 0
                                     x1 = x2 = - 3
                                                             S = { - 3 }

Answer 2

$2 x^{2} =-12x-18\to\\ \\2 x^{2} +12x+18=0\\\\ a=2;~b=12;~c=18\\\\\\ \Delta=b^2-4ac\to \Delta=12^2-4.2.18\to \Delta=144-144\to \boxed{ \Delta=0}\\\\ x'=x'', ~~pois~~ \Delta=0\\\\\\ x= \dfrac{-b\pm \sqrt{ \Delta} }{2a} \to~~ x= \dfrac{-12\pm \sqrt{ 0} }{2.2} \to~~ x= \dfrac{-12\pm 0 }{4} \to\\\\\\ x'=x''= \dfrac{-12}{4} \to~~ \boxed{x'=x''= -3}\\\\\\\\ \large\boxed{\boxed{S=\{-3\}}}$