Question

considereaequaçao x - 12 x + 4 + k = o
determine o valor da capa de modo que
A equacao admita duas raizes diferentes

Answer 1

$x^2-12x +4+k=0\\\Delta \ \textgreater \ 0 \\b^2 -4.a.c\ \textgreater \ 0 \\ (-12)^2 -4.1. (4+k)\ \textgreater \ 0\\144-16-4k\ \textgreater \ 0\\128\ \textgreater \ 4k\\k \ \textless \ \dfrac{128}{4} \Rightarrow k \ \textless \ 32$