(2*x^2-5*x+3)/(x-1)=x^2+5*x-7
ОДЗ х -1 не равен 0; х не равен 1
2*x^2-5*x+3=(x-1)*((x^2+5*x-6)-1)
x^2+5*x-6=0 x1,2=(-5±√(5^2+4*6))/2=(-5±7)/2 x1=-6 x2=1
x^2+5*x-6=(x+6)*(x-1)
2*x^2-5*x+3=(x-1)*(x+6)*(x-1)-1*(x-1)
2*x^2-5*x+3+x-1=(x-1)^2*(x+6)
2*x^2-4*x+2=(x-1)^2*(x+6)
2*x^2-4*x+2=0 (/2)
x^2-2*x+1=0 x1,2=(2±√(2^2-4*1*1))/2*1=(2±0)/2=1
2*(x^2-2*x+1)=2*(x-1)*(x-1)=2*(x-1)^2
2*(x-1)^2=(x-1)^2*(x+6)
2=x+6
x=-4