Question

calculati |1-2x|=|x+4|

Answer 1

DVA:1-2x≥0 si x+4≥0
        x≤1/2   si x≥-4
x∈[-4;1/2]

Ridicam ambele parti ale ecuatiei la puterea a doua

(1-2x)²=(x+4)²⇔1-4x+4x²=x²+8x+16⇔3x²-12x-15=0
                                                              Δ=144+180=324=(18)²
x1=(12-18)/6=-1
x2=(12+18)/6=5∉DVA

S={-1}