移项,得 2X^2-3X=-1化简,得 X^2-3/2=-1/2配方,得 (X-3/4)^2=17/16降次,得 X-3/4=1√(7/16)X-3/4=√(17/16) X-3/4=-√(17/16)解一次方程,得X1=3+√17/4 X2=3-√17/4