√2х²+4√3х-2√2=0, D=(4√3)²-4·√2·(-2√2)=16·3+8·2=64, x=(-4√3±8)/(2√2)=(-2√3±4)/(√2)=(-2√6±4√2)/2=-√6±2√2, x₁=-√6-2√2, x₂=-√6+2√2.