Question

Resposta X² -5x +2=0

Answer 1

Resposta:

X² -5x +2=0

$a=1\\ b=-5\\ c=2\\ \\ \Delta=b^2-4ac\\ \Delta=(-5)^2-4(1)(2)\\ \Delta=25-8\\ \\ \Delta=17\\ \\ \\ x=\dfrac{-b\pm\sqrt{\Delta} }{2a}\\ \\ x=\dfrac{-(-5)\pm\sqrt{17} }{2(1)}=\dfrac{5\pm\sqrt{17} }{2}\\ \\ \\ \boxed{x'=\dfrac{5+\sqrt{17} }{2}}\\ \\ \\ \boxed{x"=\dfrac{5-\sqrt{17} }{2}}$