Question

Rezolvati ecuatia :
x^2+x+(2/x)-4=0
Va rog sa ma ajutati!

Answer 1

x^2+x+(2/x)-4=0 <=> x^2-1+x+2/x-3=0 <=> (x-1)(x+1)+(x^2+2-3x)/x=0 <=> (x-1)(x+1)+(x-1)(x-2)/x=0 <=> (x-1)[ x+1+(x-2)/x]=0
1.x-1=0 <=> x1=1
2.x+1+(x-2)/x=0 <=> (x+1)x+x-2=0 <=> x^2+2x-2=0.se rezolva ec si se obtin celelalte 2 solutii x2 si x3.