x=2/(√3-1)
=2(√3+1)/(√3-1)(√3+1)
=2(√3+1)/(3-1)
=√3+1
x²-2x+3
=x²-2x+1+2
=(x-1)²+2
=(√3+1-1)²+2
=(√3)²+2
=3+2
=5