Question

Rezolvati ecuatia: ³√(x³-x+1) = x-1

Answer 1

ridicam ec la puterea a 3
x^3-x+1=(x-1)^3
x^3-x+1=x^3-3x^2+3x-1
x^3-x^3+3x^2-3x-x+1+1=0
3x^2-4x+2=0
delta=b^2-4ac=16-24= -8<0
x1= -b+i√-delta supra 2a= (4+2√2i)/6=2(2+√2i)/6=(2+√2i)/3
x2= -b-i√-delta supra 2a= (4-2√2i)/6=2(2-√2i)/6=(2-√2i)/3