Question

Resolva essa equacao do 2grau 2x-8x+8=0

Answer 1

$2 x^{2} -8x+8=0\\\\ a=2;~b=-8;~c=8\\\\\\ \Delta=b^2-4ac\to \Delta=(-8)^2-4.2.8\to \Delta=64-64\to \boxed{\Delta=0}\\\\ x' = x''\\\\\\ x= \dfrac{-b\pm \sqrt{\Delta} }{2a} \to~~ x= \dfrac{-(-8)\pm \sqrt{0} }{2} \to~~ x= \dfrac{8\pm 0 }{4} \to\\\\\\ x'=x''= \dfrac{8 }{4} \to~~ \boxed{x'=x''=2}\\\\\\\\ \large\boxed{\boxed{S=\{2\}}}$