Question

sa se rezolve inecuatia 3 supra x^2-2x mai mare sau egal cu 1

Answer 1

3/(x²-2x) ≥1

C.E ..x∈r\{0;2}

3≥(x²-2x)

x²-2x≤3

x²-2x-3≤0

f(x) =x²-2x-3 functie de grad 2

ecuiatia atasata

x²-2x-3=0 are radaciniole x1,2=(2+/-√(4+12))/2

x1=-1; x2=3

si are semnul " -"  intre radacini

deci x∈[-1;3]

dar nu trebuiesa uitam sa eliminam valorile in care expresia nu e definita

dexci ras[puns final

x∈[-1;3]\{0;2}⇔x∈[-1;0)∪(0;2)∪(2;4]