Respuesta:
[x = 3 | X = -2]
Explicación paso a paso:
[tex]2x^{2} -2x-12 =0\\\\x=\frac{-(-2)+- \sqrt{-2^{2} -4(2)(-12) } }{2(2)} \\\\x=\frac{2+-\sqrt{4-(-96)} }{4} \\\\x=\frac{2+-\sqrt{100} }{4} \\\\x=\frac{2+-10}{4} \\\\\\\left \{ {{x=\frac{2+10}{4}=\frac{12}{4}=3 } \atop {x=\frac{2-10}{4}=\frac{-8}{4} =-2 }} \right.[/tex]
