Question

Determine as raízes reais das seguintes funções:

y = x²-x+2

Answer 1

$y = x^2-x+2\to\\\\ x^2-x+2=0\\\\ a=1;~b=-1;c=2\\\\ \Delta=b^2-4ac\to\\ \Delta=(-1)^2-4.1.2\to\\ \Delta=1-8\to \\\boxed{\Delta=-7}\\\\\\N\~ao~~existe~~raiz~~real~~para~~esta~~equac\~ao, ~~pois ~~ \Delta\ \textless \ 0$