Question

rezolvati in r ecuatia
d)x^2+modulul 2 +x=63

Answer 1

x²+x+2=63 pt x≥-2
x²+x-61=0
x1,2=(-1+/-√(1+244))/2=(-1+/-√245)/2=(-1+/-7√5)/2
convine doar x2=(-1+7√5)/2>-2

x²-x-2=63 pt x<-2
x²-x-65=0
x3,4=(1+/-√(1+260))/2= (1+/-√261)/2
convine numai x3=(1-√261)/2<-2

deci S={(1-√261)/2 ; (-1+7√5)/2 }