Question

Assinale a alternativa que corresponde a razão entre a maior e a menor raiz da equação x2 - 6x + 8 = 0 . Alternativas: a) 1. b) 2. c) 3. d) 4. e) 5

Answer 1

$x^2-6x+8=0\\\\a=1\,\,\,\,\,\,\,b=-6\,\,\,\,\,\,\,\,c=8\\\\\triangle=b^2-4ac\\\triangle=(-6)^2-4\cdot(1)\cdot(8)\\\triangle=36-32\\\triangle=4\\\\x= \dfrac{-b \frac{+}{-} \sqrt{\triangle}}{2a}\\\\\\x= \dfrac{-(-6) \frac{+}{-} \sqrt{4}}{2}\\\\\\x= \dfrac{6\frac{+}{-}2}{2}\\\\\\x'= \dfrac{8}{2}\\\\\\x'=4\\\\x"= \dfrac{4}{2}\\\\\\x"=2\\\\\\ \dfrac{4}{2}=2$

$\boxed{\\Alternativa\,B}$