Question

x²-7x+12=0 o resultado e (-3-4)

Answer 1

$x^{2} -7x+12=0\\\\ a=1;~b=-7;c=12\\\\\\ \Delta=b^2-4ac\to \Delta=(-7)^2-4.1.12\to \Delta=49-48\to \boxed{\Delta=1}\\\\ x' \neq x''\\\\\\ x= \dfrac{-b\pm \sqrt{\Delta} }{2a} \to~~ x= \dfrac{-(-7)\pm \sqrt{1} }{2.1} \to~~ x= \dfrac{7\pm 1}{2} \to~~ \\\\\\x'= \dfrac{7+ 1}{2} \to~~ x'= \dfrac{8}{2} \to~~ \boxed{x'=4}\\\\\\ x''= \dfrac{7- 1}{2} \to~~ x''= \dfrac{6}{2} \to~~ \boxed{x''=3}\\\\\\\\ \large\boxed{S=\{3~;~4\}}$