Matemática, perguntado por talitabarril, 1 ano atrás

a equaçao resolvida
e) x(X-2)=2(x+6)

Soluções para a tarefa

Respondido por LuanaSC8
1
 x(x-2)=2(x+6)\to \\\\ x^{2} -2x=2x+12\to  \\\\x^{2} -2x-2x-12=0\to\\\\  x^{2} -4x-12=0\\\\ a=1\ ;\ b=-4\ ;\ c=-12\\\\\\ \Delta=b^2-4ac\to \Delta=(-4)^2-4*1*(-12)\to \Delta=16+48\to \Delta=64\\\\ x' \neq x''\\\\ \\ x= \frac{-b\pm  \sqrt{\Delta} }{2a} \to  x= \frac{-(-4)\pm  \sqrt{64} }{2*1} \to   x= \frac{4\pm  8}{2} \to   \\\\\\ x'= \frac{4+  8}{2} \to   x'= \frac{12}{2} \to   x'=6\\\\\\ x''= \frac{4-  8}{2} \to   x''= \frac{-4}{2} \to   x''=-2\\\\\\\\ S=\{-2;6\}
Perguntas interessantes